13.88 is what percent of 168.4 - 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 168.4 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 168.4, so we can write it down as 100%=168.4.
4. We know, that x% equals 13.88 of the output value, so we can write it down as x%=13.88.
5. Now we have two simple equations:
1) 100%=168.4
2) x%=13.88
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%=168.4/13.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.88 is what percent of 168.4

100%/x%=168.4/13.88
(100/x)*x=(168.4/13.88)*x       - we multiply both sides of the equation by x
100=12.132564841499*x       - we divide both sides of the equation by (12.132564841499) to get x
100/12.132564841499=x
8.2422802850356=x
x=8.2422802850356

now we have:
13.88 is 8.2422802850356% of 168.4