398.95 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 398.95 of the output value, so we can write it down as x%=398.95.
5. Now we have two simple equations:
1) 100%=460
2) x%=398.95
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%=460/398.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 398.95 is what percent of 460

100%/x%=460/398.95
(100/x)*x=(460/398.95)*x       - we multiply both sides of the equation by x
100=1.1530266950746*x       - we divide both sides of the equation by (1.1530266950746) to get x
100/1.1530266950746=x
86.728260869565=x
x=86.728260869565

now we have:
398.95 is 86.728260869565% of 460