575.09 is what percent of 5475.09 - 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 5475.09 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 5475.09, so we can write it down as 100%=5475.09.
4. We know, that x% equals 575.09 of the output value, so we can write it down as x%=575.09.
5. Now we have two simple equations:
1) 100%=5475.09
2) x%=575.09
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%=5475.09/575.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 575.09 is what percent of 5475.09

100%/x%=5475.09/575.09
(100/x)*x=(5475.09/575.09)*x       - we multiply both sides of the equation by x
100=9.5204055017476*x       - we divide both sides of the equation by (9.5204055017476) to get x
100/9.5204055017476=x
10.503754276185=x
x=10.503754276185

now we have:
575.09 is 10.503754276185% of 5475.09