58.75 is what percent of 546.75 - 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 546.75 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 546.75, so we can write it down as 100%=546.75.
4. We know, that x% equals 58.75 of the output value, so we can write it down as x%=58.75.
5. Now we have two simple equations:
1) 100%=546.75
2) x%=58.75
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%=546.75/58.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.75 is what percent of 546.75

100%/x%=546.75/58.75
(100/x)*x=(546.75/58.75)*x       - we multiply both sides of the equation by x
100=9.3063829787234*x       - we divide both sides of the equation by (9.3063829787234) to get x
100/9.3063829787234=x
10.745313214449=x
x=10.745313214449

now we have:
58.75 is 10.745313214449% of 546.75