0.58 is what percent of 86.76 - 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 86.76 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 86.76, so we can write it down as 100%=86.76.
4. We know, that x% equals 0.58 of the output value, so we can write it down as x%=0.58.
5. Now we have two simple equations:
1) 100%=86.76
2) x%=0.58
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%=86.76/0.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.58 is what percent of 86.76

100%/x%=86.76/0.58
(100/x)*x=(86.76/0.58)*x       - we multiply both sides of the equation by x
100=149.58620689655*x       - we divide both sides of the equation by (149.58620689655) to get x
100/149.58620689655=x
0.66851083448594=x
x=0.66851083448594

now we have:
0.58 is 0.66851083448594% of 86.76