14.05 is what percent of 86.45 - 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 86.45 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 86.45, so we can write it down as 100%=86.45.
4. We know, that x% equals 14.05 of the output value, so we can write it down as x%=14.05.
5. Now we have two simple equations:
1) 100%=86.45
2) x%=14.05
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%=86.45/14.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.05 is what percent of 86.45

100%/x%=86.45/14.05
(100/x)*x=(86.45/14.05)*x       - we multiply both sides of the equation by x
100=6.153024911032*x       - we divide both sides of the equation by (6.153024911032) to get x
100/6.153024911032=x
16.252168883748=x
x=16.252168883748

now we have:
14.05 is 16.252168883748% of 86.45