337.8 is what percent of 1018.6 - 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 1018.6 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 1018.6, so we can write it down as 100%=1018.6.
4. We know, that x% equals 337.8 of the output value, so we can write it down as x%=337.8.
5. Now we have two simple equations:
1) 100%=1018.6
2) x%=337.8
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%=1018.6/337.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 337.8 is what percent of 1018.6

100%/x%=1018.6/337.8
(100/x)*x=(1018.6/337.8)*x       - we multiply both sides of the equation by x
100=3.0153937240971*x       - we divide both sides of the equation by (3.0153937240971) to get x
100/3.0153937240971=x
33.163165128608=x
x=33.163165128608

now we have:
337.8 is 33.163165128608% of 1018.6