160 ÷ 40 × 100
= (160 × 100) ÷ 40
= 16000 ÷ 40
= 400
Now we have: 160 is what percent of 40 = 400%
If you want to learn more, then please keep reading, and you won't be disappointed.
We already have our first value 160 and the second value 40. 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 = 16040
By multiplying both numerator and denominator by 100 we will get:
STEP 2Y = 16040 × 100100 = 400100
STEP 3Y = 400
Finally, we have found the value of Y which is 400 and that is our answer.
If you want to use a calculator to find 160 is what percent of 40, simply enter 160 ÷ 40 × 100 and you will get your answer which is 400
Here is a calculator to solve percentage calculations such as 160 is what percent of 40. 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.
Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 160 cookies from those, and you ended up eating 40 of them! What percent of the cookies have you eaten?
Answer: 400 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 160 on top and 40 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.
16040 = 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:
16040 × 100100 = 400100
400 = Percent
And that means you ended up eating 400 Percent of the cookies that she baked.
Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 40 = Y% / 160
Step 2: Drop the percentage marks to simplify your calculations: 100 / 40 = Y / 160
Step 3: Multiply both sides by 160 to isolate Y on the right side of the equation: 160 ( 100 / 40 ) = Y
Step 4: Computing the left side, we get: 400 = Y
This leaves us with our final answer: 160 is 400 percent of 40
Percentage Calculator