61.5 is what percent of 25.5 - 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 25.5 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 25.5, so we can write it down as 100%=25.5.
4. We know, that x% equals 61.5 of the output value, so we can write it down as x%=61.5.
5. Now we have two simple equations:
1) 100%=25.5
2) x%=61.5
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%=25.5/61.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 61.5 is what percent of 25.5

100%/x%=25.5/61.5
(100/x)*x=(25.5/61.5)*x       - we multiply both sides of the equation by x
100=0.41463414634146*x       - we divide both sides of the equation by (0.41463414634146) to get x
100/0.41463414634146=x
241.17647058824=x
x=241.17647058824

now we have:
61.5 is 241.17647058824% of 25.5