163.2 is what percent of 321.4 - 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 321.4 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 321.4, so we can write it down as 100%=321.4.
4. We know, that x% equals 163.2 of the output value, so we can write it down as x%=163.2.
5. Now we have two simple equations:
1) 100%=321.4
2) x%=163.2
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%=321.4/163.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 163.2 is what percent of 321.4

100%/x%=321.4/163.2
(100/x)*x=(321.4/163.2)*x       - we multiply both sides of the equation by x
100=1.969362745098*x       - we divide both sides of the equation by (1.969362745098) to get x
100/1.969362745098=x
50.777846919726=x
x=50.777846919726

now we have:
163.2 is 50.777846919726% of 321.4