13.4 is what percent of 301.4 - 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 301.4 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 301.4, so we can write it down as 100%=301.4.
4. We know, that x% equals 13.4 of the output value, so we can write it down as x%=13.4.
5. Now we have two simple equations:
1) 100%=301.4
2) x%=13.4
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%=301.4/13.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.4 is what percent of 301.4

100%/x%=301.4/13.4
(100/x)*x=(301.4/13.4)*x       - we multiply both sides of the equation by x
100=22.492537313433*x       - we divide both sides of the equation by (22.492537313433) to get x
100/22.492537313433=x
4.4459190444592=x
x=4.4459190444592

now we have:
13.4 is 4.4459190444592% of 301.4