26437.5 is what percent of 137250 - 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 137250 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 137250, so we can write it down as 100%=137250.
4. We know, that x% equals 26437.5 of the output value, so we can write it down as x%=26437.5.
5. Now we have two simple equations:
1) 100%=137250
2) x%=26437.5
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%=137250/26437.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26437.5 is what percent of 137250

100%/x%=137250/26437.5
(100/x)*x=(137250/26437.5)*x       - we multiply both sides of the equation by x
100=5.1914893617021*x       - we divide both sides of the equation by (5.1914893617021) to get x
100/5.1914893617021=x
19.262295081967=x
x=19.262295081967

now we have:
26437.5 is 19.262295081967% of 137250