73.48 is what percent of 804.5 - 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 804.5 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 804.5, so we can write it down as 100%=804.5.
4. We know, that x% equals 73.48 of the output value, so we can write it down as x%=73.48.
5. Now we have two simple equations:
1) 100%=804.5
2) x%=73.48
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%=804.5/73.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 73.48 is what percent of 804.5

100%/x%=804.5/73.48
(100/x)*x=(804.5/73.48)*x       - we multiply both sides of the equation by x
100=10.948557430593*x       - we divide both sides of the equation by (10.948557430593) to get x
100/10.948557430593=x
9.1336233685519=x
x=9.1336233685519

now we have:
73.48 is 9.1336233685519% of 804.5