685.4 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 685.4 of the output value, so we can write it down as x%=685.4.
5. Now we have two simple equations:
1) 100%=460
2) x%=685.4
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%=460/685.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 685.4 is what percent of 460

100%/x%=460/685.4
(100/x)*x=(460/685.4)*x       - we multiply both sides of the equation by x
100=0.67114093959732*x       - we divide both sides of the equation by (0.67114093959732) to get x
100/0.67114093959732=x
149=x
x=149

now we have:
685.4 is 149% of 460