8.04 is what percent of 84.75 - 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 84.75 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 84.75, so we can write it down as 100%=84.75.
4. We know, that x% equals 8.04 of the output value, so we can write it down as x%=8.04.
5. Now we have two simple equations:
1) 100%=84.75
2) x%=8.04
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%=84.75/8.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.04 is what percent of 84.75

100%/x%=84.75/8.04
(100/x)*x=(84.75/8.04)*x       - we multiply both sides of the equation by x
100=10.541044776119*x       - we divide both sides of the equation by (10.541044776119) to get x
100/10.541044776119=x
9.4867256637168=x
x=9.4867256637168

now we have:
8.04 is 9.4867256637168% of 84.75