9.7 is what percent of 325.7 - 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 325.7 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 325.7, so we can write it down as 100%=325.7.
4. We know, that x% equals 9.7 of the output value, so we can write it down as x%=9.7.
5. Now we have two simple equations:
1) 100%=325.7
2) x%=9.7
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%=325.7/9.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.7 is what percent of 325.7

100%/x%=325.7/9.7
(100/x)*x=(325.7/9.7)*x       - we multiply both sides of the equation by x
100=33.577319587629*x       - we divide both sides of the equation by (33.577319587629) to get x
100/33.577319587629=x
2.9782007982806=x
x=2.9782007982806

now we have:
9.7 is 2.9782007982806% of 325.7