58.8 is what percent of 675 - 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 675 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 675, so we can write it down as 100%=675.
4. We know, that x% equals 58.8 of the output value, so we can write it down as x%=58.8.
5. Now we have two simple equations:
1) 100%=675
2) x%=58.8
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%=675/58.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.8 is what percent of 675

100%/x%=675/58.8
(100/x)*x=(675/58.8)*x       - we multiply both sides of the equation by x
100=11.479591836735*x       - we divide both sides of the equation by (11.479591836735) to get x
100/11.479591836735=x
8.7111111111111=x
x=8.7111111111111

now we have:
58.8 is 8.7111111111111% of 675