25.53 is what percent of 540.27 - 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 540.27 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 540.27, so we can write it down as 100%=540.27.
4. We know, that x% equals 25.53 of the output value, so we can write it down as x%=25.53.
5. Now we have two simple equations:
1) 100%=540.27
2) x%=25.53
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%=540.27/25.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.53 is what percent of 540.27

100%/x%=540.27/25.53
(100/x)*x=(540.27/25.53)*x       - we multiply both sides of the equation by x
100=21.1621621622*x       - we divide both sides of the equation by (21.1621621622) to get x
100/21.1621621622=x
4.72541507024=x
x=4.72541507024

now we have:
25.53 is 4.72541507024% of 540.27