# Question: 45 is what percent of 66?

## Answer: 68.182 percent, which is equivalent to saying 45 out of 66 is 68.182%

### How to calculate 45 is what percent of 66

45 ÷ 66 × 100

= (45 × 100) ÷ 66

= 4500 ÷ 66

= 68.182

Now we have: 45 is what percent of 66 = 68.182%

## A simple step by step solution for calculating 45 is what percent of 66

We already have our first value 45 and the second value 66. 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 = 45/66

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

STEP 2 Y = 45/66 × 100/100 = 68.182/100

STEP 3 Y = 68.182

Finally, we have found the value of Y which is 68.182 and that is our answer. If you want to use a calculator to find 45 is what percent of 66, simply enter 45 ÷ 66 × 100 and you will get your answer which is 68.182 Here is a calculator to solve percentage calculations such as 45 is what percent of 66. 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 45 cookies from those, and you ended up eating 66 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 45 on top and 66 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

45/66 = 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:

45/66 × 100/100 = 68.182/100

68.182 = Percent

And that means you ended up eating 68.182 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% / 66 = Y% / 45

Step 2: Drop the percentage marks to simplify your calculations: 100 / 66 = Y / 45

Step 3: Multiply both sides by 45 to isolate Y on the right side of the equation: 45 ( 100 / 66 ) = Y

Step 4: Computing the left side, we get: 68.182 = Y

This leaves us with our final answer: 45 is 68.182 percent of 66