542.98 is what percent of 517.51 - 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 517.51 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 517.51, so we can write it down as 100%=517.51.
4. We know, that x% equals 542.98 of the output value, so we can write it down as x%=542.98.
5. Now we have two simple equations:
1) 100%=517.51
2) x%=542.98
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%=517.51/542.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 542.98 is what percent of 517.51

100%/x%=517.51/542.98
(100/x)*x=(517.51/542.98)*x       - we multiply both sides of the equation by x
100=0.95309219492431*x       - we divide both sides of the equation by (0.95309219492431) to get x
100/0.95309219492431=x
104.9216440262=x
x=104.9216440262

now we have:
542.98 is 104.9216440262% of 517.51