12.84 is what percent of 14.71 - 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 14.71 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 14.71, so we can write it down as 100%=14.71.
4. We know, that x% equals 12.84 of the output value, so we can write it down as x%=12.84.
5. Now we have two simple equations:
1) 100%=14.71
2) x%=12.84
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%=14.71/12.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.84 is what percent of 14.71

100%/x%=14.71/12.84
(100/x)*x=(14.71/12.84)*x       - we multiply both sides of the equation by x
100=1.1456386292835*x       - we divide both sides of the equation by (1.1456386292835) to get x
100/1.1456386292835=x
87.287559483345=x
x=87.287559483345

now we have:
12.84 is 87.287559483345% of 14.71