477.78 is what percent of 625.5 - 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 625.5 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 625.5, so we can write it down as 100%=625.5.
4. We know, that x% equals 477.78 of the output value, so we can write it down as x%=477.78.
5. Now we have two simple equations:
1) 100%=625.5
2) x%=477.78
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%=625.5/477.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 477.78 is what percent of 625.5

100%/x%=625.5/477.78
(100/x)*x=(625.5/477.78)*x       - we multiply both sides of the equation by x
100=1.3091799573025*x       - we divide both sides of the equation by (1.3091799573025) to get x
100/1.3091799573025=x
76.383693045564=x
x=76.383693045564

now we have:
477.78 is 76.383693045564% of 625.5