26.24 is what percent of 31.24 - 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 31.24 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 31.24, so we can write it down as 100%=31.24.
4. We know, that x% equals 26.24 of the output value, so we can write it down as x%=26.24.
5. Now we have two simple equations:
1) 100%=31.24
2) x%=26.24
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%=31.24/26.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.24 is what percent of 31.24

100%/x%=31.24/26.24
(100/x)*x=(31.24/26.24)*x       - we multiply both sides of the equation by x
100=1.1905487804878*x       - we divide both sides of the equation by (1.1905487804878) to get x
100/1.1905487804878=x
83.994878361076=x
x=83.994878361076

now we have:
26.24 is 83.994878361076% of 31.24