362.3 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 362.3 of the output value, so we can write it down as x%=362.3.
5. Now we have two simple equations:
1) 100%=460
2) x%=362.3
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%=460/362.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 362.3 is what percent of 460

100%/x%=460/362.3
(100/x)*x=(460/362.3)*x       - we multiply both sides of the equation by x
100=1.2696660226332*x       - we divide both sides of the equation by (1.2696660226332) to get x
100/1.2696660226332=x
78.760869565217=x
x=78.760869565217

now we have:
362.3 is 78.760869565217% of 460