31 is what percent of 160 - 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 160 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 160, so we can write it down as 100%=160.
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%=160
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%=160/31
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 160

100%/x%=160/31
(100/x)*x=(160/31)*x       - we multiply both sides of the equation by x
100=5.1612903225806*x       - we divide both sides of the equation by (5.1612903225806) to get x
100/5.1612903225806=x
19.375=x
x=19.375

now we have:
31 is 19.375% of 160