71 is what percent of 109 - 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 109 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 109, so we can write it down as 100%=109.
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%=109
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%=109/71
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 109

100%/x%=109/71
(100/x)*x=(109/71)*x       - we multiply both sides of the equation by x
100=1.5352112676056*x       - we divide both sides of the equation by (1.5352112676056) to get x
100/1.5352112676056=x
65.137614678899=x
x=65.137614678899

now we have:
71 is 65.137614678899% of 109