2.62 is what percent of 6.16 - 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 6.16 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 6.16, so we can write it down as 100%=6.16.
4. We know, that x% equals 2.62 of the output value, so we can write it down as x%=2.62.
5. Now we have two simple equations:
1) 100%=6.16
2) x%=2.62
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%=6.16/2.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.62 is what percent of 6.16

100%/x%=6.16/2.62
(100/x)*x=(6.16/2.62)*x       - we multiply both sides of the equation by x
100=2.3511450381679*x       - we divide both sides of the equation by (2.3511450381679) to get x
100/2.3511450381679=x
42.532467532468=x
x=42.532467532468

now we have:
2.62 is 42.532467532468% of 6.16