137.61 is what percent of 1587 - 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 1587 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 1587, so we can write it down as 100%=1587.
4. We know, that x% equals 137.61 of the output value, so we can write it down as x%=137.61.
5. Now we have two simple equations:
1) 100%=1587
2) x%=137.61
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%=1587/137.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 137.61 is what percent of 1587

100%/x%=1587/137.61
(100/x)*x=(1587/137.61)*x       - we multiply both sides of the equation by x
100=11.532592108132*x       - we divide both sides of the equation by (11.532592108132) to get x
100/11.532592108132=x
8.6710775047259=x
x=8.6710775047259

now we have:
137.61 is 8.6710775047259% of 1587