3.4 is what percent of 2.08 - 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 2.08 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 2.08, so we can write it down as 100%=2.08.
4. We know, that x% equals 3.4 of the output value, so we can write it down as x%=3.4.
5. Now we have two simple equations:
1) 100%=2.08
2) x%=3.4
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%=2.08/3.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.4 is what percent of 2.08

100%/x%=2.08/3.4
(100/x)*x=(2.08/3.4)*x       - we multiply both sides of the equation by x
100=0.61176470588235*x       - we divide both sides of the equation by (0.61176470588235) to get x
100/0.61176470588235=x
163.46153846154=x
x=163.46153846154

now we have:
3.4 is 163.46153846154% of 2.08