9.86 is what percent of 144.5 - 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 144.5 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 144.5, so we can write it down as 100%=144.5.
4. We know, that x% equals 9.86 of the output value, so we can write it down as x%=9.86.
5. Now we have two simple equations:
1) 100%=144.5
2) x%=9.86
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%=144.5/9.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.86 is what percent of 144.5

100%/x%=144.5/9.86
(100/x)*x=(144.5/9.86)*x       - we multiply both sides of the equation by x
100=14.655172413793*x       - we divide both sides of the equation by (14.655172413793) to get x
100/14.655172413793=x
6.8235294117647=x
x=6.8235294117647

now we have:
9.86 is 6.8235294117647% of 144.5