25.23 is what percent of 40 - 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 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, so we can write it down as 100%=40.
4. We know, that x% equals 25.23 of the output value, so we can write it down as x%=25.23.
5. Now we have two simple equations:
1) 100%=40
2) x%=25.23
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%=40/25.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.23 is what percent of 40

100%/x%=40/25.23
(100/x)*x=(40/25.23)*x       - we multiply both sides of the equation by x
100=1.585414189457*x       - we divide both sides of the equation by (1.585414189457) to get x
100/1.585414189457=x
63.075=x
x=63.075

now we have:
25.23 is 63.075% of 40