11666.67 is what percent of 137500 - 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 137500 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 137500, so we can write it down as 100%=137500.
4. We know, that x% equals 11666.67 of the output value, so we can write it down as x%=11666.67.
5. Now we have two simple equations:
1) 100%=137500
2) x%=11666.67
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%=137500/11666.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11666.67 is what percent of 137500

100%/x%=137500/11666.67
(100/x)*x=(137500/11666.67)*x       - we multiply both sides of the equation by x
100=11.785710918368*x       - we divide both sides of the equation by (11.785710918368) to get x
100/11.785710918368=x
8.4848509090909=x
x=8.4848509090909

now we have:
11666.67 is 8.4848509090909% of 137500