71 is what percent of 17286 - 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 17286 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 17286, so we can write it down as 100%=17286.
4. We know, that x% equals 71 of the output value, so we can write it down as x%=71.
5. Now we have two simple equations:
1) 100%=17286
2) x%=71
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%=17286/71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 71 is what percent of 17286

100%/x%=17286/71
(100/x)*x=(17286/71)*x       - we multiply both sides of the equation by x
100=243.46478873239*x       - we divide both sides of the equation by (243.46478873239) to get x
100/243.46478873239=x
0.41073701261136=x
x=0.41073701261136

now we have:
71 is 0.41073701261136% of 17286