122.71 is what percent of 8750 - 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 8750 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 8750, so we can write it down as 100%=8750.
4. We know, that x% equals 122.71 of the output value, so we can write it down as x%=122.71.
5. Now we have two simple equations:
1) 100%=8750
2) x%=122.71
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%=8750/122.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 122.71 is what percent of 8750

100%/x%=8750/122.71
(100/x)*x=(8750/122.71)*x       - we multiply both sides of the equation by x
100=71.3063320023*x       - we divide both sides of the equation by (71.3063320023) to get x
100/71.3063320023=x
1.4024=x
x=1.4024

now we have:
122.71 is 1.4024% of 8750