58.73 is what percent of 535.66 - 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 535.66 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 535.66, so we can write it down as 100%=535.66.
4. We know, that x% equals 58.73 of the output value, so we can write it down as x%=58.73.
5. Now we have two simple equations:
1) 100%=535.66
2) x%=58.73
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%=535.66/58.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.73 is what percent of 535.66

100%/x%=535.66/58.73
(100/x)*x=(535.66/58.73)*x       - we multiply both sides of the equation by x
100=9.1207219478972*x       - we divide both sides of the equation by (9.1207219478972) to get x
100/9.1207219478972=x
10.964044356495=x
x=10.964044356495

now we have:
58.73 is 10.964044356495% of 535.66