25264.98 is what percent of 45500 - 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 45500 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 45500, so we can write it down as 100%=45500.
4. We know, that x% equals 25264.98 of the output value, so we can write it down as x%=25264.98.
5. Now we have two simple equations:
1) 100%=45500
2) x%=25264.98
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%=45500/25264.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25264.98 is what percent of 45500

100%/x%=45500/25264.98
(100/x)*x=(45500/25264.98)*x       - we multiply both sides of the equation by x
100=1.8009117759048*x       - we divide both sides of the equation by (1.8009117759048) to get x
100/1.8009117759048=x
55.527428571429=x
x=55.527428571429

now we have:
25264.98 is 55.527428571429% of 45500