Percentage Of
Percentages
Types of problems:
1. Percentage Of = [pic] (where the % is written as a decimal)
2. Percentage Change = [pic] (where the % is written as a decimal)
3. Percentage More Than = [pic] (where the % is written as a decimal)
4. Percentage Less Than = [pic] (where the % is written as a decimal)
5. Successive Percentage Change
Our goal is to calculate the overall percentage change between the Final Value (in this example, Final Price with Coupon) and the Beginning Value (in this example, Retail Price) when you are given two intermediate percentage decreases, increases or a mixture. In this example, we are given two intermediate decreases.
Example: Jeans are on sale for 40% off the retail price. The retail price is $40.00. If you have a coupon, you can receive an additional 20% off the sale price. What is the overall percentage savings?
Mathematically:
Determine the sale price: 40 - 40∙.40 = 24
Determine the final price with coupon: 24 - 24∙.20 = 19.20
Determine the overall percentage change: [pic]
which is an overall savings of 52%.
Formula: (1 ± P1) ∙(1 ± P2) – 1 = % (where the % is written as a decimal)
P1 = First percentage increase/decrease
P2 = Second percentage increase/decrease
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