140 ÷ 160 × 100
= (140 × 100) ÷ 160
= 14000 ÷ 160
= 87.5
Now we have: 140 is what percent of 160 = 87.5%
Here is a calculator to solve percentage calculations such as 140 is what percent of 160. 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 140 and the second value 160. 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 = 140160
By multiplying both numerator and denominator by 100 we will get:
STEP 2Y = 140160 × 100100 = 87.5100
STEP 3Y = 87.5
Finally, we have found the value of Y which is 87.5 and that is our answer.
If you want to use a calculator to find 140 is what percent of 160, simply enter 140 ÷ 160 × 100 and you will get your answer which is 87.5
Question: You have found your aunt’s freshly baked cookies vault which, she just baked! She told you not to eat more than 140 cookies from those, and you ended up eating 160 of them! What percent of the cookies have you eaten?
Answer: 87.5 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 140 on top and 160 on the bottom of the fraction, and now we're ready to figure out the part we don't know; the Percent.
140160 = 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:
140160 × 100100 = 87.5100
87.5 = Percent
And that means you ended up eating 87.5 Percent of the cookies that she baked.
Step 1: Let's solve the equation for Y by first rewriting it as: 100% / 160 = Y% / 140
Step 2: Drop the percentage marks to simplify your calculations: 100 / 160 = Y / 140
Step 3: Multiply both sides by 140 to isolate Y on the right side of the equation: 140 ( 100 / 160 ) = Y
Step 4: Computing the left side, we get: 87.5 = Y
This leaves us with our final answer: 140 is 87.5 percent of 160
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