7.1 is what percent of 260.9 - 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 260.9 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 260.9, so we can write it down as 100%=260.9.
4. We know, that x% equals 7.1 of the output value, so we can write it down as x%=7.1.
5. Now we have two simple equations:
1) 100%=260.9
2) x%=7.1
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%=260.9/7.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.1 is what percent of 260.9

100%/x%=260.9/7.1
(100/x)*x=(260.9/7.1)*x       - we multiply both sides of the equation by x
100=36.746478873239*x       - we divide both sides of the equation by (36.746478873239) to get x
100/36.746478873239=x
2.7213491759295=x
x=2.7213491759295

now we have:
7.1 is 2.7213491759295% of 260.9