Answer the following questions.
(a) 33 is 55% of what?
(b) What percent of 40 is 26?

To find the number such that 33 is 55% of it, set up the equation 33 = 0.55 x and solve for x .
Divide 33 by 0.55 to find x = 60 .
To find what percent of 40 is 26, set up the equation 100 p ​ 40 = 26 and solve for p .
Multiply 26 by 100 and divide by 40 to find p = 65 . The final answers are 60 ​ and 65 ​ .

Explanation

Problem Analysis Let's solve the percentage problems step by step.

Setting up the equation for (a) For part (a), we need to find the number such that 33 is 55% of it. Let's call this number x . We can write the equation as: 33 = 0.55 × x

Solving for x To solve for x , we divide both sides of the equation by 0.55: x = 0.55 33 ​ x = 60

Setting up the equation for (b) For part (b), we need to find what percent of 40 is 26. Let's call this percentage p . We can write the equation as: 100 p ​ × 40 = 26

Solving for p To solve for p , we first multiply both sides of the equation by 100: p × 40 = 2600 Then, we divide both sides by 40: p = 40 2600 ​ p = 65

Final Answer Therefore, 33 is 55% of 60, and 26 is 65% of 40.


Examples
Understanding percentages is crucial in everyday life. For instance, when shopping, calculating discounts involves percentage reductions. If an item originally costs $100 and is 25% off, you save $25, making the new price $75. Similarly, calculating sales tax, tips at restaurants, or interest on loans all rely on percentage calculations, highlighting their practical importance.

Answered by GinnyAnswer | 2025-07-07

33 is 55% of 60, and 26 is 65% of 40.
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Answered by Anonymous | 2025-07-12