17 is what percent of 14468 - 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 14468 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 14468, so we can write it down as 100%=14468.
4. We know, that x% equals 17 of the output value, so we can write it down as x%=17.
5. Now we have two simple equations:
1) 100%=14468
2) x%=17
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%=14468/17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17 is what percent of 14468

100%/x%=14468/17
(100/x)*x=(14468/17)*x       - we multiply both sides of the equation by x
100=851.05882352941*x       - we divide both sides of the equation by (851.05882352941) to get x
100/851.05882352941=x
0.11750069118054=x
x=0.11750069118054

now we have:
17 is 0.11750069118054% of 14468