1. Example 2 Finding a Part of a Base What number is 24% of 200? Write proportion. 100 p = b a Simplify. = a48 Substitute 200 for b and 24 for p. 100 24 = 200 a Multiply each side by 200. = 100 24 200 200 a ANSWER 48 is 24% of 200.

2. Heptathlon SOLUTION In this situation, 836 is a part of the total score, which is the base. Example 3 Finding a Base Write proportion. 100 p = b a In a heptathlon, an athlete earns points in seven track-and-field events. Suppose an athlete earns 836 points in the 100 meter hurdles. This score makes up 16% of the total score. What is the total score?

3. Example 3 Finding a Base Substitute 836 for a and 16 for p. 100 16 = b 836 Multiply. = 83,60016b Cross products property = 836 16 100b Divide each side by 16. = 5225b ANSWER The athlete’s total score is 5225 points.

4. Use a proportion to answer the question. Checkpoint ANSWER 9 What number is 18% of 50 ?5. 105 is 84% of what number?6. ANSWER 125