31.12 is what percent of 18 - 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 18 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 18, so we can write it down as 100%=18.
4. We know, that x% equals 31.12 of the output value, so we can write it down as x%=31.12.
5. Now we have two simple equations:
1) 100%=18
2) x%=31.12
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%=18/31.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.12 is what percent of 18

100%/x%=18/31.12
(100/x)*x=(18/31.12)*x       - we multiply both sides of the equation by x
100=0.57840616966581*x       - we divide both sides of the equation by (0.57840616966581) to get x
100/0.57840616966581=x
172.88888888889=x
x=172.88888888889

now we have:
31.12 is 172.88888888889% of 18