Solved: 120 is What Percent of 160? = 75 Percent

Percentage Calculator: 120 is what percent of 160

Here is a calculator to solve percentage calculations such as 120 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.

A simple step by step solution for calculating 120 is what percent of 160

We already have our first value 120 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 1Y = 120/160

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

STEP 2Y = 120/160 × 100/100 = 75/100

STEP 3Y = 75

Finally, we have found the value of Y which is 75 and that is our answer.

If you want to use a calculator to find 120 is what percent of 160, simply enter 120 ÷ 160 × 100 and you will get your answer which is 75

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

Answer: 75 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 120 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.

120/160 = 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:

120/160 × 100/100 = 75/100

75 = Percent

And that means you ended up eating 75 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% / 120

Step 2: Drop the percentage marks to simplify your calculations: 100 / 160 = Y / 120

Step 3: Multiply both sides by 120 to isolate Y on the right side of the equation: 120 ( 100 / 160 ) = Y

Step 4: Computing the left side, we get: 75 = Y

This leaves us with our final answer: 120 is 75 percent of 160

Question: 120 is what percent of 160?

Answer: 75 percent, which is equivalent to saying 120 out of 160 is 75%

How to calculate 120 is what percent of 160

Percentage Calculator: 120 is what percent of 160

A simple step by step solution for calculating 120 is what percent of 160

Sample questions, answers, and how to

Another step by step method

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