125.78 is what percent of 575.78 - 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 575.78 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 575.78, so we can write it down as 100%=575.78.
4. We know, that x% equals 125.78 of the output value, so we can write it down as x%=125.78.
5. Now we have two simple equations:
1) 100%=575.78
2) x%=125.78
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%=575.78/125.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 125.78 is what percent of 575.78

100%/x%=575.78/125.78
(100/x)*x=(575.78/125.78)*x       - we multiply both sides of the equation by x
100=4.57767530609*x       - we divide both sides of the equation by (4.57767530609) to get x
100/4.57767530609=x
21.845149188926=x
x=21.845149188926

now we have:
125.78 is 21.845149188926% of 575.78