31 is what percent of 353 - 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 353 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 353, so we can write it down as 100%=353.
4. We know, that x% equals 31 of the output value, so we can write it down as x%=31.
5. Now we have two simple equations:
1) 100%=353
2) x%=31
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%=353/31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31 is what percent of 353

100%/x%=353/31
(100/x)*x=(353/31)*x       - we multiply both sides of the equation by x
100=11.3870967742*x       - we divide both sides of the equation by (11.3870967742) to get x
100/11.3870967742=x
8.78186968839=x
x=8.78186968839

now we have:
31 is 8.78186968839% of 353