3.4 is what percent of 39.98 - 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 39.98 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 39.98, so we can write it down as 100%=39.98.
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%=39.98
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%=39.98/3.4
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 39.98

100%/x%=39.98/3.4
(100/x)*x=(39.98/3.4)*x       - we multiply both sides of the equation by x
100=11.758823529412*x       - we divide both sides of the equation by (11.758823529412) to get x
100/11.758823529412=x
8.504252126063=x
x=8.504252126063

now we have:
3.4 is 8.504252126063% of 39.98