71 is what percent of 47601 - 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 47601 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 47601, so we can write it down as 100%=47601.
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%=47601
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%=47601/71
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 47601

100%/x%=47601/71
(100/x)*x=(47601/71)*x       - we multiply both sides of the equation by x
100=670.43661971831*x       - we divide both sides of the equation by (670.43661971831) to get x
100/670.43661971831=x
0.14915653032499=x
x=0.14915653032499

now we have:
71 is 0.14915653032499% of 47601