## Introduction

Have you ever come across a math problem that left you confused and wondering how to solve it? If so, you are not alone. One of the most common math problems that people struggle with is finding a number that is a certain percentage of another number. In this article, we will tackle the problem of finding what number 35 is of 70.

## Understanding the Problem

Before we dive into the solution, let’s make sure we understand the problem. The question is asking us to find what percentage 35 represents of 70. In other words, if we had 70 items and we took away 35, what percentage of the original 70 would we be left with?

## The Formula

To solve this problem, we need to use a simple formula:

Percentage = (Part / Whole) x 100

In this case, the part is 35 and the whole is 70. So, we can plug these values into the formula:

Percentage = (35 / 70) x 100

## Simplifying the Formula

We can simplify this formula by dividing both the numerator and denominator by 5:

Percentage = (7 / 14) x 100

Percentage = (1 / 2) x 100

Percentage = 50%

## The Answer

So, the answer to the question “35 of what number is 70?” is 50. This means that 35 is 50% of 70.

## Examples

Let’s look at some examples to further illustrate how to solve this type of problem.

### Example 1:

What is 20% of 80?

To solve this problem, we can use the same formula:

Percentage = (Part / Whole) x 100

Part = 20 and Whole = 80, so we can plug these values into the formula:

Percentage = (20 / 80) x 100

Percentage = 0.25 x 100

Percentage = 25%

So, 20% of 80 is 16.

### Example 2:

If 15 is 30% of a number, what is the number?

In this case, we need to rearrange the formula to solve for the whole:

Whole = (Part / Percentage) x 100

Part = 15 and Percentage = 30, so we can plug these values into the formula:

Whole = (15 / 30) x 100

Whole = 0.5 x 100

Whole = 50

So, the number is 50.

## Conclusion

Math problems can be intimidating, but with the right formula and some practice, you can solve them with ease. The problem of finding what number 35 is of 70 is a common one, but by using the formula and simplifying it, we can easily find the answer. Remember to take your time and double-check your work to avoid mistakes. Good luck!