59.6 is what percent of 106.684 - 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 106.684 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 106.684, so we can write it down as 100%=106.684.
4. We know, that x% equals 59.6 of the output value, so we can write it down as x%=59.6.
5. Now we have two simple equations:
1) 100%=106.684
2) x%=59.6
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%=106.684/59.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59.6 is what percent of 106.684

100%/x%=106.684/59.6
(100/x)*x=(106.684/59.6)*x       - we multiply both sides of the equation by x
100=1.79*x       - we divide both sides of the equation by (1.79) to get x
100/1.79=x
55.86592178771=x
x=55.86592178771

now we have:
59.6 is 55.86592178771% of 106.684