14.13 is what percent of 12.87 - 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 12.87 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 12.87, so we can write it down as 100%=12.87.
4. We know, that x% equals 14.13 of the output value, so we can write it down as x%=14.13.
5. Now we have two simple equations:
1) 100%=12.87
2) x%=14.13
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%=12.87/14.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.13 is what percent of 12.87

100%/x%=12.87/14.13
(100/x)*x=(12.87/14.13)*x       - we multiply both sides of the equation by x
100=0.91082802547771*x       - we divide both sides of the equation by (0.91082802547771) to get x
100/0.91082802547771=x
109.79020979021=x
x=109.79020979021

now we have:
14.13 is 109.79020979021% of 12.87