103.67 is what percent of 804.25 - 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 804.25 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 804.25, so we can write it down as 100%=804.25.
4. We know, that x% equals 103.67 of the output value, so we can write it down as x%=103.67.
5. Now we have two simple equations:
1) 100%=804.25
2) x%=103.67
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%=804.25/103.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 103.67 is what percent of 804.25

100%/x%=804.25/103.67
(100/x)*x=(804.25/103.67)*x       - we multiply both sides of the equation by x
100=7.7577891386129*x       - we divide both sides of the equation by (7.7577891386129) to get x
100/7.7577891386129=x
12.890270438297=x
x=12.890270438297

now we have:
103.67 is 12.890270438297% of 804.25