163.8 is what percent of 1200 - 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 1200 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 1200, so we can write it down as 100%=1200.
4. We know, that x% equals 163.8 of the output value, so we can write it down as x%=163.8.
5. Now we have two simple equations:
1) 100%=1200
2) x%=163.8
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%=1200/163.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 163.8 is what percent of 1200

100%/x%=1200/163.8
(100/x)*x=(1200/163.8)*x       - we multiply both sides of the equation by x
100=7.3260073260073*x       - we divide both sides of the equation by (7.3260073260073) to get x
100/7.3260073260073=x
13.65=x
x=13.65

now we have:
163.8 is 13.65% of 1200