31.61 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 31.61 of the output value, so we can write it down as x%=31.61.
5. Now we have two simple equations:
1) 100%=460
2) x%=31.61
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%=460/31.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.61 is what percent of 460

100%/x%=460/31.61
(100/x)*x=(460/31.61)*x       - we multiply both sides of the equation by x
100=14.552356849098*x       - we divide both sides of the equation by (14.552356849098) to get x
100/14.552356849098=x
6.8717391304348=x
x=6.8717391304348

now we have:
31.61 is 6.8717391304348% of 460