31 is what percent of 2015 - 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 2015 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 2015, so we can write it down as 100%=2015.
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%=2015
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%=2015/31
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 2015

100%/x%=2015/31
(100/x)*x=(2015/31)*x       - we multiply both sides of the equation by x
100=65*x       - we divide both sides of the equation by (65) to get x
100/65=x
1.5384615384615=x
x=1.5384615384615

now we have:
31 is 1.5384615384615% of 2015