789.09 is what percent of 812.04 - 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 812.04 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 812.04, so we can write it down as 100%=812.04.
4. We know, that x% equals 789.09 of the output value, so we can write it down as x%=789.09.
5. Now we have two simple equations:
1) 100%=812.04
2) x%=789.09
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%=812.04/789.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 789.09 is what percent of 812.04

100%/x%=812.04/789.09
(100/x)*x=(812.04/789.09)*x       - we multiply both sides of the equation by x
100=1.0290841348896*x       - we divide both sides of the equation by (1.0290841348896) to get x
100/1.0290841348896=x
97.173784542633=x
x=97.173784542633

now we have:
789.09 is 97.173784542633% of 812.04