41266.52 is what percent of 25450 - 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 25450 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 25450, so we can write it down as 100%=25450.
4. We know, that x% equals 41266.52 of the output value, so we can write it down as x%=41266.52.
5. Now we have two simple equations:
1) 100%=25450
2) x%=41266.52
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%=25450/41266.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41266.52 is what percent of 25450

100%/x%=25450/41266.52
(100/x)*x=(25450/41266.52)*x       - we multiply both sides of the equation by x
100=0.61672270886908*x       - we divide both sides of the equation by (0.61672270886908) to get x
100/0.61672270886908=x
162.14742632613=x
x=162.14742632613

now we have:
41266.52 is 162.14742632613% of 25450