# Question: 40 is what percent of 160?

### How to calculate 40 is what percent of 160

40 ÷ 160 × 100

= (40 × 100) ÷ 160

= 4000 ÷ 160

= 25

Now we have: 40 is what percent of 160 = 25%

## A simple step by step solution for calculating 40 is what percent of 160

We already have our first value 40 and the second value 160. Let's assume the unknown value is Y which answer we will find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

STEP 1 Y = 40/160

By multiplying both numerator and denominator by 100 we will get:

STEP 2 Y = 40/160 × 100/100 = 25/100

STEP 3 Y = 25

Finally, we have found the value of Y which is 25 and that is our answer. If you want to use a calculator to find 40 is what percent of 160, simply enter 40 ÷ 160 × 100 and you will get your answer which is 25 Here is a calculator to solve percentage calculations such as 40 is what percent of 160. You can solve this type of calculation with your values by entering them into the calculator's fields, and click 'Calculate' to get the result and explanation.

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## Sample questions, answers, and how to

Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 40 cookies from those, and you ended up eating 160 of them! What percent of the cookies have you eaten?

How To: The key words in this problem are "What Percent" because they let us know that it's the Percent that is missing. So the two numbers that it gives us must be the "Total" and the "Part" we have.

Part/Total = Percent

In this case, it's the Total of those cookies that your aunt's baked. So we put 40 on top and 160 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

40/160 = Percent

To find the percent, all we need to do is convert the fraction into its percent form by multiplying both top and bottom part by 100 and here is the way to figure out what the Percent is:

40/160 × 100/100 = 25/100

25 = Percent

And that means you ended up eating 25 Percent of the cookies that she baked.

## Another step by step method

Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 160 = Y% / 40

Step 2: Drop the percentage marks to simplify your calculations: 100 / 160 = Y / 40

Step 3: Multiply both sides by 40 to isolate Y on the right side of the equation: 40 ( 100 / 160 ) = Y

Step 4: Computing the left side, we get: 25 = Y

This leaves us with our final answer: 40 is 25 percent of 160