679.68 is what percent of 799.9 - 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 799.9 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 799.9, so we can write it down as 100%=799.9.
4. We know, that x% equals 679.68 of the output value, so we can write it down as x%=679.68.
5. Now we have two simple equations:
1) 100%=799.9
2) x%=679.68
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%=799.9/679.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 679.68 is what percent of 799.9

100%/x%=799.9/679.68
(100/x)*x=(799.9/679.68)*x       - we multiply both sides of the equation by x
100=1.176877354049*x       - we divide both sides of the equation by (1.176877354049) to get x
100/1.176877354049=x
84.970621327666=x
x=84.970621327666

now we have:
679.68 is 84.970621327666% of 799.9