517.7 is what percent of 672.35 - 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 672.35 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 672.35, so we can write it down as 100%=672.35.
4. We know, that x% equals 517.7 of the output value, so we can write it down as x%=517.7.
5. Now we have two simple equations:
1) 100%=672.35
2) x%=517.7
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%=672.35/517.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 517.7 is what percent of 672.35

100%/x%=672.35/517.7
(100/x)*x=(672.35/517.7)*x       - we multiply both sides of the equation by x
100=1.2987251303844*x       - we divide both sides of the equation by (1.2987251303844) to get x
100/1.2987251303844=x
76.998587045438=x
x=76.998587045438

now we have:
517.7 is 76.998587045438% of 672.35