120.18 is what percent of 712 - 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 712 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 712, so we can write it down as 100%=712.
4. We know, that x% equals 120.18 of the output value, so we can write it down as x%=120.18.
5. Now we have two simple equations:
1) 100%=712
2) x%=120.18
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%=712/120.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 120.18 is what percent of 712

100%/x%=712/120.18
(100/x)*x=(712/120.18)*x       - we multiply both sides of the equation by x
100=5.9244466633383*x       - we divide both sides of the equation by (5.9244466633383) to get x
100/5.9244466633383=x
16.879213483146=x
x=16.879213483146

now we have:
120.18 is 16.879213483146% of 712