88.7 is what percent of 123.86 - 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 123.86 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 123.86, so we can write it down as 100%=123.86.
4. We know, that x% equals 88.7 of the output value, so we can write it down as x%=88.7.
5. Now we have two simple equations:
1) 100%=123.86
2) x%=88.7
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%=123.86/88.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.7 is what percent of 123.86

100%/x%=123.86/88.7
(100/x)*x=(123.86/88.7)*x       - we multiply both sides of the equation by x
100=1.3963923337091*x       - we divide both sides of the equation by (1.3963923337091) to get x
100/1.3963923337091=x
71.613111577588=x
x=71.613111577588

now we have:
88.7 is 71.613111577588% of 123.86