13744.31 is what percent of 8712.5 - 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 8712.5 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 8712.5, so we can write it down as 100%=8712.5.
4. We know, that x% equals 13744.31 of the output value, so we can write it down as x%=13744.31.
5. Now we have two simple equations:
1) 100%=8712.5
2) x%=13744.31
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%=8712.5/13744.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13744.31 is what percent of 8712.5

100%/x%=8712.5/13744.31
(100/x)*x=(8712.5/13744.31)*x       - we multiply both sides of the equation by x
100=0.63389868243659*x       - we divide both sides of the equation by (0.63389868243659) to get x
100/0.63389868243659=x
157.75391678623=x
x=157.75391678623

now we have:
13744.31 is 157.75391678623% of 8712.5