178.64 is what percent of 3413.4 - 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 3413.4 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 3413.4, so we can write it down as 100%=3413.4.
4. We know, that x% equals 178.64 of the output value, so we can write it down as x%=178.64.
5. Now we have two simple equations:
1) 100%=3413.4
2) x%=178.64
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%=3413.4/178.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 178.64 is what percent of 3413.4

100%/x%=3413.4/178.64
(100/x)*x=(3413.4/178.64)*x       - we multiply both sides of the equation by x
100=19.107702642185*x       - we divide both sides of the equation by (19.107702642185) to get x
100/19.107702642185=x
5.2334915333685=x
x=5.2334915333685

now we have:
178.64 is 5.2334915333685% of 3413.4