425.8 is what percent of 460 - 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 460 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 460, so we can write it down as 100%=460.
4. We know, that x% equals 425.8 of the output value, so we can write it down as x%=425.8.
5. Now we have two simple equations:
1) 100%=460
2) x%=425.8
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%=460/425.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 425.8 is what percent of 460

100%/x%=460/425.8
(100/x)*x=(460/425.8)*x       - we multiply both sides of the equation by x
100=1.0803193987788*x       - we divide both sides of the equation by (1.0803193987788) to get x
100/1.0803193987788=x
92.565217391304=x
x=92.565217391304

now we have:
425.8 is 92.565217391304% of 460