66.73 is what percent of 1013.85 - 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 1013.85 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 1013.85, so we can write it down as 100%=1013.85.
4. We know, that x% equals 66.73 of the output value, so we can write it down as x%=66.73.
5. Now we have two simple equations:
1) 100%=1013.85
2) x%=66.73
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%=1013.85/66.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.73 is what percent of 1013.85

100%/x%=1013.85/66.73
(100/x)*x=(1013.85/66.73)*x       - we multiply both sides of the equation by x
100=15.193316349468*x       - we divide both sides of the equation by (15.193316349468) to get x
100/15.193316349468=x
6.5818414952902=x
x=6.5818414952902

now we have:
66.73 is 6.5818414952902% of 1013.85