3.4 is what percent of 42.616 - 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 42.616 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 42.616, so we can write it down as 100%=42.616.
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%=42.616
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%=42.616/3.4
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 42.616

100%/x%=42.616/3.4
(100/x)*x=(42.616/3.4)*x       - we multiply both sides of the equation by x
100=12.534117647059*x       - we divide both sides of the equation by (12.534117647059) to get x
100/12.534117647059=x
7.9782241411676=x
x=7.9782241411676

now we have:
3.4 is 7.9782241411676% of 42.616