925.55 is what percent of 1562.55 - 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 1562.55 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 1562.55, so we can write it down as 100%=1562.55.
4. We know, that x% equals 925.55 of the output value, so we can write it down as x%=925.55.
5. Now we have two simple equations:
1) 100%=1562.55
2) x%=925.55
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%=1562.55/925.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 925.55 is what percent of 1562.55

100%/x%=1562.55/925.55
(100/x)*x=(1562.55/925.55)*x       - we multiply both sides of the equation by x
100=1.6882394252066*x       - we divide both sides of the equation by (1.6882394252066) to get x
100/1.6882394252066=x
59.233304534255=x
x=59.233304534255

now we have:
925.55 is 59.233304534255% of 1562.55