425.99 is what percent of 480.71 - 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 480.71 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 480.71, so we can write it down as 100%=480.71.
4. We know, that x% equals 425.99 of the output value, so we can write it down as x%=425.99.
5. Now we have two simple equations:
1) 100%=480.71
2) x%=425.99
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%=480.71/425.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 425.99 is what percent of 480.71

100%/x%=480.71/425.99
(100/x)*x=(480.71/425.99)*x       - we multiply both sides of the equation by x
100=1.1284537195709*x       - we divide both sides of the equation by (1.1284537195709) to get x
100/1.1284537195709=x
88.616837594392=x
x=88.616837594392

now we have:
425.99 is 88.616837594392% of 480.71