13.4 is what percent of 8.4 - 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 8.4 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 8.4, so we can write it down as 100%=8.4.
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%=8.4
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%=8.4/13.4
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 8.4

100%/x%=8.4/13.4
(100/x)*x=(8.4/13.4)*x       - we multiply both sides of the equation by x
100=0.62686567164179*x       - we divide both sides of the equation by (0.62686567164179) to get x
100/0.62686567164179=x
159.52380952381=x
x=159.52380952381

now we have:
13.4 is 159.52380952381% of 8.4