80.22 is what percent of 690.9 - 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 690.9 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 690.9, so we can write it down as 100%=690.9.
4. We know, that x% equals 80.22 of the output value, so we can write it down as x%=80.22.
5. Now we have two simple equations:
1) 100%=690.9
2) x%=80.22
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%=690.9/80.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 80.22 is what percent of 690.9

100%/x%=690.9/80.22
(100/x)*x=(690.9/80.22)*x       - we multiply both sides of the equation by x
100=8.6125654450262*x       - we divide both sides of the equation by (8.6125654450262) to get x
100/8.6125654450262=x
11.61094224924=x
x=11.61094224924

now we have:
80.22 is 11.61094224924% of 690.9