# Question: 105 is what percent of 75?

## Answer: 140 percent, which is equivalent to saying 105 out of 75 is 140%

### How to calculate 105 is what percent of 75

105 ÷ 75 × 100

= (105 × 100) ÷ 75

= 10500 ÷ 75

= 140

Now we have: 105 is what percent of 75 = 140%

## A simple step by step solution for calculating 105 is what percent of 75

We already have our first value 105 and the second value 75. 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 = 105/75

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

STEP 2 Y = 105/75 × 100/100 = 140/100

STEP 3 Y = 140

Finally, we have found the value of Y which is 140 and that is our answer. If you want to use a calculator to find 105 is what percent of 75, simply enter 105 ÷ 75 × 100 and you will get your answer which is 140 Here is a calculator to solve percentage calculations such as 105 is what percent of 75. 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.

is what percent of

## 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 105 cookies from those, and you ended up eating 75 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 105 on top and 75 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

105/75 = 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:

105/75 × 100/100 = 140/100

140 = Percent

And that means you ended up eating 140 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% / 75 = Y% / 105

Step 2: Drop the percentage marks to simplify your calculations: 100 / 75 = Y / 105

Step 3: Multiply both sides by 105 to isolate Y on the right side of the equation: 105 ( 100 / 75 ) = Y

Step 4: Computing the left side, we get: 140 = Y

This leaves us with our final answer: 105 is 140 percent of 75