13.8 is what percent of 321.4 - 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 321.4 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 321.4, so we can write it down as 100%=321.4.
4. We know, that x% equals 13.8 of the output value, so we can write it down as x%=13.8.
5. Now we have two simple equations:
1) 100%=321.4
2) x%=13.8
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%=321.4/13.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.8 is what percent of 321.4

100%/x%=321.4/13.8
(100/x)*x=(321.4/13.8)*x       - we multiply both sides of the equation by x
100=23.289855072464*x       - we divide both sides of the equation by (23.289855072464) to get x
100/23.289855072464=x
4.2937149968886=x
x=4.2937149968886

now we have:
13.8 is 4.2937149968886% of 321.4