39.81 is what percent of 42.6 - 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 42.6 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 42.6, so we can write it down as 100%=42.6.
4. We know, that x% equals 39.81 of the output value, so we can write it down as x%=39.81.
5. Now we have two simple equations:
1) 100%=42.6
2) x%=39.81
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%=42.6/39.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.81 is what percent of 42.6

100%/x%=42.6/39.81
(100/x)*x=(42.6/39.81)*x       - we multiply both sides of the equation by x
100=1.0700828937453*x       - we divide both sides of the equation by (1.0700828937453) to get x
100/1.0700828937453=x
93.450704225352=x
x=93.450704225352

now we have:
39.81 is 93.450704225352% of 42.6