9.65 is what percent of 13.96 - 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 13.96 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 13.96, so we can write it down as 100%=13.96.
4. We know, that x% equals 9.65 of the output value, so we can write it down as x%=9.65.
5. Now we have two simple equations:
1) 100%=13.96
2) x%=9.65
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%=13.96/9.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.65 is what percent of 13.96

100%/x%=13.96/9.65
(100/x)*x=(13.96/9.65)*x       - we multiply both sides of the equation by x
100=1.4466321243523*x       - we divide both sides of the equation by (1.4466321243523) to get x
100/1.4466321243523=x
69.126074498567=x
x=69.126074498567

now we have:
9.65 is 69.126074498567% of 13.96