3.4 is what percent of 43.1 - 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 43.1 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 43.1, so we can write it down as 100%=43.1.
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%=43.1
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%=43.1/3.4
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 43.1

100%/x%=43.1/3.4
(100/x)*x=(43.1/3.4)*x       - we multiply both sides of the equation by x
100=12.676470588235*x       - we divide both sides of the equation by (12.676470588235) to get x
100/12.676470588235=x
7.8886310904872=x
x=7.8886310904872

now we have:
3.4 is 7.8886310904872% of 43.1