14.21 is what percent of 12.37 - 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 12.37 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 12.37, so we can write it down as 100%=12.37.
4. We know, that x% equals 14.21 of the output value, so we can write it down as x%=14.21.
5. Now we have two simple equations:
1) 100%=12.37
2) x%=14.21
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%=12.37/14.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.21 is what percent of 12.37

100%/x%=12.37/14.21
(100/x)*x=(12.37/14.21)*x       - we multiply both sides of the equation by x
100=0.87051372273047*x       - we divide both sides of the equation by (0.87051372273047) to get x
100/0.87051372273047=x
114.87469684721=x
x=114.87469684721

now we have:
14.21 is 114.87469684721% of 12.37