14.71 is what percent of 15.23 - 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 15.23 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 15.23, so we can write it down as 100%=15.23.
4. We know, that x% equals 14.71 of the output value, so we can write it down as x%=14.71.
5. Now we have two simple equations:
1) 100%=15.23
2) x%=14.71
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%=15.23/14.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.71 is what percent of 15.23

100%/x%=15.23/14.71
(100/x)*x=(15.23/14.71)*x       - we multiply both sides of the equation by x
100=1.0353501019714*x       - we divide both sides of the equation by (1.0353501019714) to get x
100/1.0353501019714=x
96.585686145765=x
x=96.585686145765

now we have:
14.71 is 96.585686145765% of 15.23