25.33 is what percent of 37.5 - 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 37.5 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 37.5, so we can write it down as 100%=37.5.
4. We know, that x% equals 25.33 of the output value, so we can write it down as x%=25.33.
5. Now we have two simple equations:
1) 100%=37.5
2) x%=25.33
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%=37.5/25.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.33 is what percent of 37.5

100%/x%=37.5/25.33
(100/x)*x=(37.5/25.33)*x       - we multiply both sides of the equation by x
100=1.4804579549941*x       - we divide both sides of the equation by (1.4804579549941) to get x
100/1.4804579549941=x
67.546666666667=x
x=67.546666666667

now we have:
25.33 is 67.546666666667% of 37.5