11.72 is what percent of 820.08 - 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 820.08 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 820.08, so we can write it down as 100%=820.08.
4. We know, that x% equals 11.72 of the output value, so we can write it down as x%=11.72.
5. Now we have two simple equations:
1) 100%=820.08
2) x%=11.72
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%=820.08/11.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.72 is what percent of 820.08

100%/x%=820.08/11.72
(100/x)*x=(820.08/11.72)*x       - we multiply both sides of the equation by x
100=69.972696245734*x       - we divide both sides of the equation by (69.972696245734) to get x
100/69.972696245734=x
1.4291288654765=x
x=1.4291288654765

now we have:
11.72 is 1.4291288654765% of 820.08