Percent Proportion

Types of Percent Problems: Find the Whole

For example, 14.4 is 32% of what number? Let 'w' represent the whole. [1] Write the percent proportion: p/500 [part] = 80/100 [whole] [2] Find the cross products: 14.4 • 100 = 32• w [3] Multiply: 1,440 = 32w [4] Divide each side by 32: 1,440/32 = 32w/32 [5] Simplify: 45 = w This means 14.4 is 32% of 45.

Types of Percent Problems: Find the Percent

For example, 7 is what percent of 10? [1] Write the percent proportion: 7/10 = n/100 [2] Find the cross products: 7 • 100 = 10 • n [3] Multiply: 700 = 10n [4] Divide each side by 10: 700/10 = 10n/10 [5] Simplify: 70 = n This means 7 is 70% of 10.

Types of Percent Problems: Find the Percent

For example, what number is 80% of 500? Let 'p' represent the part [1] Write the percent proportion: p/500 [part] = 80/100 [whole] [2] Find the cross products: p • 100 = 500 • 80 [3] Multiply: 100p = 40,000 [4] Divide each side by 100: 100p/100 = 40,000/100 [5] Simplify: p = 400 This means 400 is 80% of 500.

Percent Proportion

In a PERCENT PROPORTION, one ratio compares part of a quantity to whole quantity, also the BASE. The other ratio involved with a percent proportion is the equivalent percent written as a fraction with a denominator of 100.