What is 137.5 percent of 71.5 - 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 71.5 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 71.5 is 100%, so we can write it down as 71.5=100%.
4. We know, that x is 137.5% of the output value, so we can write it down as x=137.5%.
5. Now we have two simple equations:
1) 71.5=100%
2) x=137.5%
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:
71.5/x=100%/137.5%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 137.5% of 71.5

71.5/x=100/137.5
(71.5/x)*x=(100/137.5)*x       - we multiply both sides of the equation by x
71.5=0.72727272727273*x       - we divide both sides of the equation by (0.72727272727273) to get x
71.5/0.72727272727273=x
98.3125=x
x=98.3125

now we have:
137.5% of 71.5=98.3125