Question

Set up and solve a proportion to solve the problem.



The number
21
21 is what percent of
75
75?



%

Answer 1

To determine what percent 21 is of 75, we can set up a proportion. The formula for finding a percentage is:

\[
\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100
\]

In this case, we have:

- **Part** = 21
- **Whole** = 75

We can set up the proportion as follows:

\[
\frac{21}{75} = \frac{x}{100}
\]

where \(x\) represents the percentage we are trying to find. Now we can cross-multiply to solve for \(x\):

\[
21 \times 100 = 75 \times x
\]

This simplifies to:

\[
2100 = 75x
\]

Next, solve for \(x\) by dividing both sides by 75:

\[
x = \frac{2100}{75}
\]

Calculating the right side:

\[
x = 28
\]

So, 21 is 28% of 75.

**Answer: 28%**