585.35 is what percent of 620.72 - 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 620.72 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 620.72, so we can write it down as 100%=620.72.
4. We know, that x% equals 585.35 of the output value, so we can write it down as x%=585.35.
5. Now we have two simple equations:
1) 100%=620.72
2) x%=585.35
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%=620.72/585.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 585.35 is what percent of 620.72

100%/x%=620.72/585.35
(100/x)*x=(620.72/585.35)*x       - we multiply both sides of the equation by x
100=1.0604253865209*x       - we divide both sides of the equation by (1.0604253865209) to get x
100/1.0604253865209=x
94.301778579714=x
x=94.301778579714

now we have:
585.35 is 94.301778579714% of 620.72