425.82 is what percent of 1730.77 - 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 1730.77 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 1730.77, so we can write it down as 100%=1730.77.
4. We know, that x% equals 425.82 of the output value, so we can write it down as x%=425.82.
5. Now we have two simple equations:
1) 100%=1730.77
2) x%=425.82
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%=1730.77/425.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 425.82 is what percent of 1730.77

100%/x%=1730.77/425.82
(100/x)*x=(1730.77/425.82)*x       - we multiply both sides of the equation by x
100=4.0645577943732*x       - we divide both sides of the equation by (4.0645577943732) to get x
100/4.0645577943732=x
24.602922398701=x
x=24.602922398701

now we have:
425.82 is 24.602922398701% of 1730.77