40.27 is what percent of 40.58 - 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 40.58 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 40.58, so we can write it down as 100%=40.58.
4. We know, that x% equals 40.27 of the output value, so we can write it down as x%=40.27.
5. Now we have two simple equations:
1) 100%=40.58
2) x%=40.27
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%=40.58/40.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.27 is what percent of 40.58

100%/x%=40.58/40.27
(100/x)*x=(40.58/40.27)*x       - we multiply both sides of the equation by x
100=1.0076980382419*x       - we divide both sides of the equation by (1.0076980382419) to get x
100/1.0076980382419=x
99.236076885165=x
x=99.236076885165

now we have:
40.27 is 99.236076885165% of 40.58