679.05 is what percent of 845 - 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 845 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 845, so we can write it down as 100%=845.
4. We know, that x% equals 679.05 of the output value, so we can write it down as x%=679.05.
5. Now we have two simple equations:
1) 100%=845
2) x%=679.05
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%=845/679.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 679.05 is what percent of 845

100%/x%=845/679.05
(100/x)*x=(845/679.05)*x       - we multiply both sides of the equation by x
100=1.2443855386201*x       - we divide both sides of the equation by (1.2443855386201) to get x
100/1.2443855386201=x
80.360946745562=x
x=80.360946745562

now we have:
679.05 is 80.360946745562% of 845