14.87 is what percent of 30.17 - 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 30.17 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 30.17, so we can write it down as 100%=30.17.
4. We know, that x% equals 14.87 of the output value, so we can write it down as x%=14.87.
5. Now we have two simple equations:
1) 100%=30.17
2) x%=14.87
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%=30.17/14.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.87 is what percent of 30.17

100%/x%=30.17/14.87
(100/x)*x=(30.17/14.87)*x       - we multiply both sides of the equation by x
100=2.0289172831204*x       - we divide both sides of the equation by (2.0289172831204) to get x
100/2.0289172831204=x
49.287371561153=x
x=49.287371561153

now we have:
14.87 is 49.287371561153% of 30.17