162 ÷ 200 × 100
= (162 × 100) ÷ 200
= 16200 ÷ 200
= 81
Now we have: 162 is what percent of 200 = 81%
Here is a calculator to solve percentage calculations such as 162 is what percent of 200. 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.
We already have our first value 162 and the second value 200. 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 = 162200
By multiplying both numerator and denominator by 100 we will get:
STEP 2Y = 162200 × 100100 = 81100
STEP 3Y = 81
Finally, we have found the value of Y which is 81 and that is our answer.
If you want to use a calculator to find 162 is what percent of 200, simply enter 162 ÷ 200 × 100 and you will get your answer which is 81
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 200 of them! What percent of the cookies have you eaten?
Answer: 81 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.
PartTotal = Percent
In this case, it's the Total of those cookies that your aunt's baked. So we put 162 on top and 200 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.
162200 = 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:
162200 × 100100 = 81100
81 = Percent
And that means you ended up eating 81 Percent of the cookies that she baked.
Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 200 = Y% / 162
Step 2: Drop the percentage marks to simplify your calculations: 100 / 200 = Y / 162
Step 3: Multiply both sides by 162 to isolate Y on the right side of the equation: 162 ( 100 / 200 ) = Y
Step 4: Computing the left side, we get: 81 = Y
This leaves us with our final answer: 162 is 81 percent of 200