9.78 is what percent of 320.19 - 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 320.19 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 320.19, so we can write it down as 100%=320.19.
4. We know, that x% equals 9.78 of the output value, so we can write it down as x%=9.78.
5. Now we have two simple equations:
1) 100%=320.19
2) x%=9.78
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%=320.19/9.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.78 is what percent of 320.19

100%/x%=320.19/9.78
(100/x)*x=(320.19/9.78)*x       - we multiply both sides of the equation by x
100=32.739263803681*x       - we divide both sides of the equation by (32.739263803681) to get x
100/32.739263803681=x
3.0544364283707=x
x=3.0544364283707

now we have:
9.78 is 3.0544364283707% of 320.19