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You are watching: 160 is what percent of 400

## A simple step by step solution for calculating 160 is what percent the 400

We already have our first value 160 and the second value 400. Let"s i think the unknown value is Y i m sorry answer us will uncover out.

As we have actually all the required values us need, currently we have the right to put lock in a straightforward mathematical formula together below:

STEP 1Y = 160/400

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

STEP 2Y = 160/400 × 100/100 = 40/100

STEP 3Y = 40

Finally, we have uncovered the value of Y i m sorry is 40 and also that is our answer.

If you want to use a calculator to discover 160 is what percent the 400, simply go into 160 ÷ 400 × 100 and also you will get your answer which is 40

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Here is a calculator come solve percentage calculations such together 160 is what percent that 400. You deserve to solve this kind of calculation through your worths by beginning them into the calculator"s fields, and click "Calculate" to obtain the result and explanation.

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## Sample questions, answers, and also how to

Question: you have uncovered your aunt’s freshly baked cookie vault which, she just baked! She told you not to eat more than 160 cookies from those, and also you ended up eat 400 the them! What percent of the cookies have you eaten?

Answer: 40 percent the the cookie that she baked.

How To: The an essential words in this trouble are "What Percent" because they allow us understand that it"s the Percent the is missing. Therefore the 2 numbers that it offers us have to be the "Total" and also the "Part" us have.

Part/Total = Percent

In this case, it"s the complete of those cookie that her aunt"s baked. So we placed 160 ~ above top and 400 ~ above the bottom the the fraction, and now we"re all set to number out the part we don"t know; the Percent.

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160/400 = Percent

To discover the percent, every we need to do is transform the portion into the percent type by multiplying both top and bottom component by 100 and also here is the means to number out what the Percent is:

160/400 × 100/100 = 40/100

40 = Percent

And that way you finished up eating 40 Percent of the cookies that she baked.

## Another step by action method

Step 1: Let"s fix the equation because that Y by first rewriting it as: 100% / 400 = Y% / 160

Step 2: autumn the percent marks to leveling your calculations: 100 / 400 = Y / 160

Step 3: main point both political parties by 160 to isolate Y top top the appropriate side that the equation: 160 ( 100 / 400 ) = Y

Step 4: computer the left side, us get: 40 = Y

This pipeline us with our final answer: 160 is 40 percent the 400

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