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Let's solve the given questions step by step.

**(a) 68 is 85% of what number?**

Let the unknown number be \( x \).
We can express this as:
\[
68 = 0.85 \times x
\]
To find \( x \), divide both sides by 0.85:
\[
x = \frac{68}{0.85} = 80
\]
So, the number is **80**.

**(b) 38 is what percent of 40?**

Let the percentage be \( p \).
We can express this as:
\[
38 = \frac{p}{100} \times 40
\]
To find \( p \), multiply both sides by 100 and divide by 40:
\[
p = \frac{38 \times 100}{40} = 95
\]
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.

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

Learn how to solve percentage problems such as '68 is 85% of what number?' and '38 is what percent of 40?' with step-by-step solutions. Suitable for students in Grades 6-8, this lesson covers key concepts in percentages and algebra.

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