How to work out percentages of 2 numbers
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How to work out percentages of 2 numbers
Calculate a percent of a value before and after, or find the percentage change between two values, and see how to calculate each one. numbers/images/pct-calc.js Apply 10% to 100, and see how each value was calculated Try 12.5% of 50: the "50 less 12.5%" value is 43.75. Then try 12.5% of 43.75 (shows that before a 12.5% reduction it was 50.) Compare 100 to 110, and see that to go from 100 to 110 is a 10% increase, but to go from 110 back down to 100 is a 9.09% decrease (not a 10% decrease) x% of y is the same as y% of x Example: 10% of 15 is the same as 15% of 10 10% of 15 = 1.5 15% of 10 = 1.5 Copyright ? 2021 Percentage is anything per 100 expressed with symbol %. This is an online calculator to find the percentage of multiple numbers out of a constant number. For example, if you are entering the data as 1, 2 , 3 and the y value as 4, then the percentage of 1 out of 4 is 25%. Similarly 2 is 50 % out of 4 and 3 is 75 % out of 4. Percentage is anything per 100 expressed with symbol %. This is an online calculator to find the percentage of multiple numbers out of a constant number. For example, if you are entering the data as 1, 2 , 3 and the y value as 4, then the percentage of 1 out of 4 is 25%. Similarly 2 is 50 % out of 4 and 3 is 75 % out of 4. Formula: p = ( x / y ) * 100 Where, p = Percentage x = X Value y = Y Value Related Calculators: When working with Excel spreadsheets,we may be required to get the percentage difference between 2 numbers. Percentage difference is simply the difference between the original value and the new value, expressed as a percentage. Formula to get percentage difference We can calculate the percentage change in Excel using the formula below % of Difference = (New Value ? Old value)/Old value When we calculate percentage difference with formula in Excel, the answer we get is simply in number format. Usually, we multiply the result with 100 in order to get the percentage difference in numbers. However, this is not the case when we are trying to find percentage difference between two numbers. Excel has a built-in feature that automatically formats the result into Excel percentage difference. How the Excel difference formula works When using the percentage difference formula to calculate the difference, it first starts by calculating the difference between the specified values. This is the actual change, where the original value is subtracted from the new value. After getting the diff, the result is divided by the original value, which is also referred to as the old value. We get a decimal value result. For us to get the difference as a percentage, we have to format it using percentage number format first. Examples of how to calculate percentage difference between two numbers in Excel Example 1: Calculate percentage difference between two columns Step 1: Prepare the data for which you want to find the percentage difference Figure 1: Data to find difference Step 2: Find the difference between two columns Figure 2: Find the difference in numbers Note how we find the difference in the above figure. All we need to do is subtract column B from A. in cell C2 for example, we have B2 ? A2 to get 70 as the difference. Step 3: Divide the difference with the original value Figure 3: Calculate percentage difference between original and new value It is also important to note that when finding difference, we can have a positive difference or a negative difference. The positive differences are called increases while the negative differences are called decreases. In our figure above, you will notice that cell C3 and cell C4 have negative differences, meaning the change is negative. In column D, we have the results in column C divided by the original value, also referred to as the old value to get the decimal results. Step 4: Format to get the decimal results into percentage change To format the difference column into a percentage, we need to first highlight it. Then after highlighting it, we right-click anywhere in the column to start formatting. Figure 4: Format to get the result as percentage change In the dialog box that appears, choose numbers as your format type and the select percentage. Then click OK. Figure 5: Select Percentage as the format After clicking on OK, you will have all the differences converted to percentage as shown in the figure below: Figure 6: Percentage difference NOTES Perhaps, we should remember that we do not have a function for difference, thus we have to master how to use the difference formula to get changes between values. Instant Connection to an Expert through our Excelchat Service Most of the time, the problem you will need to solve will be more complex than a simple application of a formula or function. If you want to save hours of research and frustration, try our live Excelchat service! Our Excel Experts are available 24/7 to answer any Excel question you may have. We guarantee a connection within 30 seconds and a customized solution within 20 minutes. Andrew Paterson/Photographer's Choice RF/Getty Images To calculate the percentage between two numbers, determine the type of percentage needed. Then, subtract one number from the other, and divide it based on the type of percentage. Finally, multiply the answer by 100 to find the percentage. Determine what type of percentage is neededThe percentage between two numbers is either a percentage change, error or difference. Change is used when comparing any two numbers, error is used when comparing an exact value to an estimated value, and difference is used to compare an old value to a new value. For example, if comparing the price of an item in two separate shops, percentage difference is used.Subtract one value from the otherFor percentage error and percentage change, use the absolute value of the answer when subtracting one value from the other. For example, if milk is $4.00 in one shop, but $5.50 in another, the difference is $1.50.Find the percentageFor percentage change, divide the answer by absolute value of the old value; for percentage error, divide the answer by the exact value. For the percentage difference, divide the answer by the average of the two values. Once the final answer is calculated, multiply it by 100 to get the answer in percent. The percent difference for the two milk prices is $1.50 / (($4.00 + $5.50) * 0.5) * 100 = 31.6 percent. Find a percentage or work out the percentage given numbers and percent values. Use percent formulas to figure out percentages and unknowns in equations. Add or subtract a percentage from a number or solve the equations. How to Calculate Percentages There are many formulas for percentage problems. You can think of the most basic as X/Y = P x 100. The formulas below are all mathematical variations of this formula. Let's explore the three basic percentage problems. X and Y are numbers and P is the percentage: Find P percent of X Find what percent of X is Y Find X if P percent of it is Y Read on to learn more about how to figure percentages. 1. How to calculate percentage of a number. Use the percentage formula: P% * X = Y Example: What is 10% of 150? Convert the problem to an equation using the percentage formula: P% * X = Y P is 10%, X is 150, so the equation is 10% * 150 = Y Convert 10% to a decimal by removing the percent sign and dividing by 100: 10/100 = 0.10 Substitute 0.10 for 10% in the equation: 10% * 150 = Y becomes 0.10 * 150 = Y Do the math: 0.10 * 150 = 15 Y = 15 So 10% of 150 is 15 Double check your answer with the original question: What is 10% of 150? Multiply 0.10 * 150 = 15 2. How to find what percent of X is Y. Use the percentage formula: Y/X = P% Example: What percent of 60 is 12? Convert the problem to an equation using the percentage formula: Y/X = P% X is 60, Y is 12, so the equation is 12/60 = P% Do the math: 12/60 = 0.20 Important! The result will always be in decimal form, not percentage form. You need to multiply the result by 100 to get the percentage. Converting 0.20 to a percent: 0.20 * 100 = 20% So 20% of 60 is 12. Double check your answer with the original question: What percent of 60 is 12? 12/60 = 0.20, and multiplying by 100 to get percentage, 0.20 * 100 = 20% 3. How to find X if P percent of it is Y. Use the percentage formula Y/P% = X Example: 25 is 20% of what number? Convert the problem to an equation using the percentage formula: Y/P% = X Y is 25, P% is 20, so the equation is 25/20% = X Convert the percentage to a decimal by dividing by 100. Converting 20% to a decimal: 20/100 = 0.20 Substitute 0.20 for 20% in the equation: 25/0.20 = X Do the math: 25/0.20 = X X = 125 So 25 is 20% of 125 Double check your answer with the original question: 25 is 20% of what number? 25/0.20 = 125 Remember: How to convert a percentage to a decimal Remove the percentage sign and divide by 100 15.6% = 15.6/100 = 0.156 Remember: How to convert a decimal to a percentage Multiply by 100 and add a percentage sign 0.876 = 0.876 * 100 = 87.6% Percentage Problems There are nine variations on the three basic problems involving percentages. See if you can match your problem to one of the samples below. The problem formats match the input fields in the calculator above. Formulas and examples are included. Written as an equation: Y = P% * X The 'what' is Y that we want to solve for Remember to first convert percentage to decimal, dividing by 100 Solution: Solve for Y using the percentage formula Y = P% * X Written using the percentage formula: Y = 10% * 25 First convert percentage to a decimal 10/100 = 0.1 Y = 0.1 * 25 = 2.5 So 10% of 25 is 2.5 Written as an equation: Y = P% ? X The 'what' is P% that we want to solve for Divide both sides by X to get P% on one side of the equation Y ? X = (P% ? X) ? X becomes Y ? X = P%, which is the same as P% = Y ? X Solution: Solve for P% using the percentage formula P% = Y ? X Written using the formula: P% = 12 ? 40 P% = 12 ? 40 = 0.3 Convert the decimal to percent P% = 0.3 ? 100 = 30% So 12 is 30% of 40 Written as an equation: Y = P% * X The 'what' is X that we want to solve for Divide both sides by P% to get X on one side of the equation Y ? P% = (P% ? X) ? P% becomes Y ? P% = X, which is the same as X = Y ? P% Solution: Solve for X using the percentage formula X = Y ? P% Writen using the formula: X = 9 ? 60% Convert percent to decimal 60% ? 100 = 0.6 X = 9 ? 0.6 X = 15 So 9 is 60% of 15 Written as an equation: P% * X = Y The 'what' is P% that we want to solve for Divide both sides by X to get P% on one side of the equation (P% * X) ? X = Y ? X becomes P% = Y ? X Solution: Solve for P% using the percentage formula P% = Y ? X Written using the formula: P% = 6 ? 27 6 ? 27 = 0.2222 Convert decimal to percent P% = 0.2222 ? 100 P% = 22.22% So 22.22% of 27 is 6 Written as an equation: P% ? X = Y The 'what' is X that we want to solve for Divide both sides by P% to get X on one side of the equation (P% ? X) ? P% = Y ? P% becomes X = Y ? P% Solution: Solve for X using the percentage formula X = Y ? P% Written using the formula: X = 7 ? 20% Convert the percent to a decimal 20% ? 100 = 0.2 X = 7 ? 0.2 X = 35 So 20% of 35 is 7. Written as an equation: P% * X = Y The 'what' is Y that we want to solve for Solution: Solve for Y using the percentage formula Y = P% * X Written using the formula: 5% * 29 = Y Convert the percent to a decimal 5% ? 100 = 0.05 Y = 0.05 * 29 Y = 1.45 So 5% of 29 is 1.45 Written as an equation: Y / X = P% The 'what' is X that we want to solve for Multiply both sides by X to get X out of the denominator (Y / X) * X = P% * X becomes Y = P% * X Divide both sides by P% so that X is on one side of the equation Y ? P% = (P% * X) ? P% becomes Y ? P% = X Solution: Solve for X using the percentage formula X = Y ? P% Written using the formula: X = 4 ? 12% Solve for X: X = Y ? P% Convert the percent to a decimal 12% ? 100 = 0.12 X = 4 ? 0.12 X = 33.3333 4 of 33.3333 is 12% Written as an equation: Y / X = P% The 'what' is Y that we want to solve for Multiply both sides by X to get Y on one side of the equation (Y ? X) * X = P% * X becomes Y = P% * X Solution: Solve for Y using the percentage formula Y = P% * X Written using the formula: Y = 11% * 25 Convert the percent to a decimal 11% ? 100 = 0.11 Y = 0.11 * 25 Y = 2.75 So 2.75 of 25 is 11% Written as an equation: Y / X = P% The 'what' is P% that we want to solve for Solution: Solve for P% using the percentage formula P% = Y / X Written using the formula: P% = Y / X 9 ? 13 = P% 9 ? 13 = 0.6923 Convert decimal to percent by multiplying by 100 0.6923 * 100 = 69.23% 9 ? 13 = 69.23% So 9 of 13 is 69.23% Related Calculators Find the change in percentage as an increase or decrease using the Percentage Change Calculator. Solve decimal to percentage conversions with our Decimal to Percent Calculator. Convert from percentage to decimals with the Percent to Decimal Calculator. If you need to convert between fractions and percents see our Fraction to Percent Calculator, or our Percent to Fraction Calculator. References Weisstein, Eric W. "Percent." From MathWorld -- A Wolfram Web Resource.
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