14.85 is what percent of 29.71 - 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 29.71 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 29.71, so we can write it down as 100%=29.71.
4. We know, that x% equals 14.85 of the output value, so we can write it down as x%=14.85.
5. Now we have two simple equations:
1) 100%=29.71
2) x%=14.85
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%=29.71/14.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.85 is what percent of 29.71

100%/x%=29.71/14.85
(100/x)*x=(29.71/14.85)*x       - we multiply both sides of the equation by x
100=2.0006734006734*x       - we divide both sides of the equation by (2.0006734006734) to get x
100/2.0006734006734=x
49.983170649613=x
x=49.983170649613

now we have:
14.85 is 49.983170649613% of 29.71