Question: 162 is what percent of 450?

Answer: 36 percent, which is equivalent to saying 162 out of 450 is 36%

How to calculate 162 is what percent of 450

162 ÷ 450 × 100

= (162 × 100) ÷ 450

= 16200 ÷ 450

= 36

Now we have: 162 is what percent of 450 = 36%

Percentage Calculator: 162 is what percent of 450

Here is a calculator to solve percentage calculations such as 162 is what percent of 450. 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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A simple step by step solution for calculating 162 is what percent of 450

We already have our first value 162 and the second value 450. 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 = 162/450

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

STEP 2Y = 162/450 × 100/100 = 36/100

STEP 3Y = 36

Finally, we have found the value of Y which is 36 and that is our answer.

If you want to use a calculator to find 162 is what percent of 450, simply enter 162 ÷ 450 × 100 and you will get your answer which is 36

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 162 cookies from those, and you ended up eating 450 of them! What percent of the cookies have you eaten?

Answer: 36 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 162 on top and 450 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.

162/450 = 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:

162/450 × 100/100 = 36/100

36 = Percent

And that means you ended up eating 36 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% / 450 = Y% / 162

Step 2: Drop the percentage marks to simplify your calculations: 100 / 450 = Y / 162

Step 3: Multiply both sides by 162 to isolate Y on the right side of the equation: 162 ( 100 / 450 ) = Y

Step 4: Computing the left side, we get: 36 = Y

This leaves us with our final answer: 162 is 36 percent of 450