14.5 is what percent of 85.5 - 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 85.5 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 85.5, so we can write it down as 100%=85.5.
4. We know, that x% equals 14.5 of the output value, so we can write it down as x%=14.5.
5. Now we have two simple equations:
1) 100%=85.5
2) x%=14.5
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%=85.5/14.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.5 is what percent of 85.5

100%/x%=85.5/14.5
(100/x)*x=(85.5/14.5)*x       - we multiply both sides of the equation by x
100=5.8965517241379*x       - we divide both sides of the equation by (5.8965517241379) to get x
100/5.8965517241379=x
16.959064327485=x
x=16.959064327485

now we have:
14.5 is 16.959064327485% of 85.5