73.82 is what percent of 6923.08 - 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 6923.08 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 6923.08, so we can write it down as 100%=6923.08.
4. We know, that x% equals 73.82 of the output value, so we can write it down as x%=73.82.
5. Now we have two simple equations:
1) 100%=6923.08
2) x%=73.82
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%=6923.08/73.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 73.82 is what percent of 6923.08

100%/x%=6923.08/73.82
(100/x)*x=(6923.08/73.82)*x       - we multiply both sides of the equation by x
100=93.783256570035*x       - we divide both sides of the equation by (93.783256570035) to get x
100/93.783256570035=x
1.0662884149829=x
x=1.0662884149829

now we have:
73.82 is 1.0662884149829% of 6923.08