100.25 is what percent of 527 - 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 527 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 527, so we can write it down as 100%=527.
4. We know, that x% equals 100.25 of the output value, so we can write it down as x%=100.25.
5. Now we have two simple equations:
1) 100%=527
2) x%=100.25
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%=527/100.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100.25 is what percent of 527

100%/x%=527/100.25
(100/x)*x=(527/100.25)*x       - we multiply both sides of the equation by x
100=5.2568578553616*x       - we divide both sides of the equation by (5.2568578553616) to get x
100/5.2568578553616=x
19.022770398482=x
x=19.022770398482

now we have:
100.25 is 19.022770398482% of 527