66.9 is what percent of 209.3 - 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 209.3 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 209.3, so we can write it down as 100%=209.3.
4. We know, that x% equals 66.9 of the output value, so we can write it down as x%=66.9.
5. Now we have two simple equations:
1) 100%=209.3
2) x%=66.9
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%=209.3/66.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.9 is what percent of 209.3

100%/x%=209.3/66.9
(100/x)*x=(209.3/66.9)*x       - we multiply both sides of the equation by x
100=3.1285500747384*x       - we divide both sides of the equation by (3.1285500747384) to get x
100/3.1285500747384=x
31.963688485428=x
x=31.963688485428

now we have:
66.9 is 31.963688485428% of 209.3