Solved: 160 is What Percent of 40? = 400 Percent

Percentage Calculator: 160 is what percent of 40

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

We already have our first value 160 and the second value 40. 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 1Y = 160/40

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

STEP 2Y = 160/40 × 100/100 = 400/100

STEP 3Y = 400

Finally, we have found the value of Y which is 400 and that is our answer.

If you want to use a calculator to find 160 is what percent of 40, simply enter 160 ÷ 40 × 100 and you will get your answer which is 400

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 160 cookies from those, and you ended up eating 40 of them! What percent of the cookies have you eaten?

Answer: 400 percent of the cookies that she baked.

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 160 on top and 40 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

160/40 = 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:

160/40 × 100/100 = 400/100

400 = Percent

And that means you ended up eating 400 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% / 40 = Y% / 160

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

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

Step 4: Computing the left side, we get: 400 = Y

This leaves us with our final answer: 160 is 400 percent of 40

Question: 160 is what percent of 40?

Answer: 400 percent, which is equivalent to saying 160 out of 40 is 400%

How to calculate 160 is what percent of 40

Percentage Calculator: 160 is what percent of 40

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

Sample questions, answers, and how to

Another step by step method

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