59 is what percent of 11.665 - 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 11.665 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 11.665, so we can write it down as 100%=11.665.
4. We know, that x% equals 59 of the output value, so we can write it down as x%=59.
5. Now we have two simple equations:
1) 100%=11.665
2) x%=59
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%=11.665/59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59 is what percent of 11.665

100%/x%=11.665/59
(100/x)*x=(11.665/59)*x       - we multiply both sides of the equation by x
100=0.19771186440678*x       - we divide both sides of the equation by (0.19771186440678) to get x
100/0.19771186440678=x
505.78654093442=x
x=505.78654093442

now we have:
59 is 505.78654093442% of 11.665