25.02 is what percent of 45.86 - 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 45.86 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 45.86, so we can write it down as 100%=45.86.
4. We know, that x% equals 25.02 of the output value, so we can write it down as x%=25.02.
5. Now we have two simple equations:
1) 100%=45.86
2) x%=25.02
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%=45.86/25.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.02 is what percent of 45.86

100%/x%=45.86/25.02
(100/x)*x=(45.86/25.02)*x       - we multiply both sides of the equation by x
100=1.8329336530775*x       - we divide both sides of the equation by (1.8329336530775) to get x
100/1.8329336530775=x
54.55734845181=x
x=54.55734845181

now we have:
25.02 is 54.55734845181% of 45.86