680.9 is what percent of 810 - 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 810 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 810, so we can write it down as 100%=810.
4. We know, that x% equals 680.9 of the output value, so we can write it down as x%=680.9.
5. Now we have two simple equations:
1) 100%=810
2) x%=680.9
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%=810/680.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 680.9 is what percent of 810

100%/x%=810/680.9
(100/x)*x=(810/680.9)*x       - we multiply both sides of the equation by x
100=1.1896019973564*x       - we divide both sides of the equation by (1.1896019973564) to get x
100/1.1896019973564=x
84.061728395062=x
x=84.061728395062

now we have:
680.9 is 84.061728395062% of 810