71 is what percent of 1099 - 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 1099 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 1099, so we can write it down as 100%=1099.
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%=1099
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%=1099/71
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 1099

100%/x%=1099/71
(100/x)*x=(1099/71)*x       - we multiply both sides of the equation by x
100=15.478873239437*x       - we divide both sides of the equation by (15.478873239437) to get x
100/15.478873239437=x
6.4604185623294=x
x=6.4604185623294

now we have:
71 is 6.4604185623294% of 1099