311.5 is what percent of 660 - 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 660 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 660, so we can write it down as 100%=660.
4. We know, that x% equals 311.5 of the output value, so we can write it down as x%=311.5.
5. Now we have two simple equations:
1) 100%=660
2) x%=311.5
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%=660/311.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 311.5 is what percent of 660

100%/x%=660/311.5
(100/x)*x=(660/311.5)*x       - we multiply both sides of the equation by x
100=2.1187800963082*x       - we divide both sides of the equation by (2.1187800963082) to get x
100/2.1187800963082=x
47.19696969697=x
x=47.19696969697

now we have:
311.5 is 47.19696969697% of 660