163.62 is what percent of 12351.25 - 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 12351.25 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 12351.25, so we can write it down as 100%=12351.25.
4. We know, that x% equals 163.62 of the output value, so we can write it down as x%=163.62.
5. Now we have two simple equations:
1) 100%=12351.25
2) x%=163.62
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%=12351.25/163.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 163.62 is what percent of 12351.25

100%/x%=12351.25/163.62
(100/x)*x=(12351.25/163.62)*x       - we multiply both sides of the equation by x
100=75.487409852096*x       - we divide both sides of the equation by (75.487409852096) to get x
100/75.487409852096=x
1.3247242181965=x
x=1.3247242181965

now we have:
163.62 is 1.3247242181965% of 12351.25