71.22 is what percent of 88.61 - 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 88.61 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 88.61, so we can write it down as 100%=88.61.
4. We know, that x% equals 71.22 of the output value, so we can write it down as x%=71.22.
5. Now we have two simple equations:
1) 100%=88.61
2) x%=71.22
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%=88.61/71.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71.22 is what percent of 88.61

100%/x%=88.61/71.22
(100/x)*x=(88.61/71.22)*x       - we multiply both sides of the equation by x
100=1.2441729851165*x       - we divide both sides of the equation by (1.2441729851165) to get x
100/1.2441729851165=x
80.374675544521=x
x=80.374675544521

now we have:
71.22 is 80.374675544521% of 88.61