162.37 is what percent of 1018.9 - 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 1018.9 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 1018.9, so we can write it down as 100%=1018.9.
4. We know, that x% equals 162.37 of the output value, so we can write it down as x%=162.37.
5. Now we have two simple equations:
1) 100%=1018.9
2) x%=162.37
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%=1018.9/162.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 162.37 is what percent of 1018.9

100%/x%=1018.9/162.37
(100/x)*x=(1018.9/162.37)*x       - we multiply both sides of the equation by x
100=6.2751739853421*x       - we divide both sides of the equation by (6.2751739853421) to get x
100/6.2751739853421=x
15.935813131809=x
x=15.935813131809

now we have:
162.37 is 15.935813131809% of 1018.9