17 is what percent of 6408 - 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 6408 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 6408, so we can write it down as 100%=6408.
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%=6408
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%=6408/17
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 6408

100%/x%=6408/17
(100/x)*x=(6408/17)*x       - we multiply both sides of the equation by x
100=376.94117647059*x       - we divide both sides of the equation by (376.94117647059) to get x
100/376.94117647059=x
0.26529338327091=x
x=0.26529338327091

now we have:
17 is 0.26529338327091% of 6408