75.24 is what percent of 329.29 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 329.29 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 329.29, so we can write it down as 100%=329.29.
4. We know, that x% equals 75.24 of the output value, so we can write it down as x%=75.24.
5. Now we have two simple equations:
1) 100%=329.29
2) x%=75.24
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=329.29/75.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75.24 is what percent of 329.29

100%/x%=329.29/75.24
(100/x)*x=(329.29/75.24)*x       - we multiply both sides of the equation by x
100=4.3765284423179*x       - we divide both sides of the equation by (4.3765284423179) to get x
100/4.3765284423179=x
22.849160314616=x
x=22.849160314616

now we have:
75.24 is 22.849160314616% of 329.29