1.65 is what percent of 7.1 - 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 7.1 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 7.1, so we can write it down as 100%=7.1.
4. We know, that x% equals 1.65 of the output value, so we can write it down as x%=1.65.
5. Now we have two simple equations:
1) 100%=7.1
2) x%=1.65
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%=7.1/1.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.65 is what percent of 7.1

100%/x%=7.1/1.65
(100/x)*x=(7.1/1.65)*x       - we multiply both sides of the equation by x
100=4.3030303030303*x       - we divide both sides of the equation by (4.3030303030303) to get x
100/4.3030303030303=x
23.239436619718=x
x=23.239436619718

now we have:
1.65 is 23.239436619718% of 7.1