209.79 is what percent of 313.11 - 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 313.11 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 313.11, so we can write it down as 100%=313.11.
4. We know, that x% equals 209.79 of the output value, so we can write it down as x%=209.79.
5. Now we have two simple equations:
1) 100%=313.11
2) x%=209.79
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%=313.11/209.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 209.79 is what percent of 313.11

100%/x%=313.11/209.79
(100/x)*x=(313.11/209.79)*x       - we multiply both sides of the equation by x
100=1.4924924924925*x       - we divide both sides of the equation by (1.4924924924925) to get x
100/1.4924924924925=x
67.002012072435=x
x=67.002012072435

now we have:
209.79 is 67.002012072435% of 313.11