Math Problem Statement

(a) 68 is 85% of what number? (b) 38 is what percent of 40?

Solution

Let's solve the given questions step by step.

(a) 68 is 85% of what number?

Let the unknown number be xx. We can express this as: 68=0.85×x68 = 0.85 \times x To find xx, divide both sides by 0.85: x=680.85=80x = \frac{68}{0.85} = 80 So, the number is 80.

(b) 38 is what percent of 40?

Let the percentage be pp. We can express this as: 38=p100×4038 = \frac{p}{100} \times 40 To find pp, multiply both sides by 100 and divide by 40: p=38×10040=95p = \frac{38 \times 100}{40} = 95 So, 38 is 95% of 40.

Would you like further explanation on any of these steps?

Related Questions:

  1. What is 75% of 120?
  2. If 90 is 60% of a number, what is the number?
  3. How would you calculate 15% of 200?
  4. 45 is what percent of 60?
  5. How do you calculate the percentage decrease from 50 to 35?

Tip: Percent means "per hundred," so calculating percentages involves multiplying or dividing by 100.

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Math Problem Analysis

Mathematical Concepts

Percentages
Algebra

Formulas

percentage = (part / whole) * 100
part = percentage * whole

Theorems

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Suitable Grade Level

Grades 6-8