89.38 is what percent of 706.26 - 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 706.26 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 706.26, so we can write it down as 100%=706.26.
4. We know, that x% equals 89.38 of the output value, so we can write it down as x%=89.38.
5. Now we have two simple equations:
1) 100%=706.26
2) x%=89.38
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%=706.26/89.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89.38 is what percent of 706.26

100%/x%=706.26/89.38
(100/x)*x=(706.26/89.38)*x       - we multiply both sides of the equation by x
100=7.9017677332737*x       - we divide both sides of the equation by (7.9017677332737) to get x
100/7.9017677332737=x
12.655396029791=x
x=12.655396029791

now we have:
89.38 is 12.655396029791% of 706.26