575.12 is what percent of 5475.12 - 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 5475.12 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 5475.12, so we can write it down as 100%=5475.12.
4. We know, that x% equals 575.12 of the output value, so we can write it down as x%=575.12.
5. Now we have two simple equations:
1) 100%=5475.12
2) x%=575.12
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%=5475.12/575.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 575.12 is what percent of 5475.12

100%/x%=5475.12/575.12
(100/x)*x=(5475.12/575.12)*x       - we multiply both sides of the equation by x
100=9.5199610516066*x       - we divide both sides of the equation by (9.5199610516066) to get x
100/9.5199610516066=x
10.504244655825=x
x=10.504244655825

now we have:
575.12 is 10.504244655825% of 5475.12