382.75 is what percent of 575.25 - 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 575.25 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 575.25, so we can write it down as 100%=575.25.
4. We know, that x% equals 382.75 of the output value, so we can write it down as x%=382.75.
5. Now we have two simple equations:
1) 100%=575.25
2) x%=382.75
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%=575.25/382.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 382.75 is what percent of 575.25

100%/x%=575.25/382.75
(100/x)*x=(575.25/382.75)*x       - we multiply both sides of the equation by x
100=1.5029392553886*x       - we divide both sides of the equation by (1.5029392553886) to get x
100/1.5029392553886=x
66.536288570187=x
x=66.536288570187

now we have:
382.75 is 66.536288570187% of 575.25