159075.25 is what percent of 338143.2 - 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 338143.2 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 338143.2, so we can write it down as 100%=338143.2.
4. We know, that x% equals 159075.25 of the output value, so we can write it down as x%=159075.25.
5. Now we have two simple equations:
1) 100%=338143.2
2) x%=159075.25
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%=338143.2/159075.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 159075.25 is what percent of 338143.2

100%/x%=338143.2/159075.25
(100/x)*x=(338143.2/159075.25)*x       - we multiply both sides of the equation by x
100=2.1256807705787*x       - we divide both sides of the equation by (2.1256807705787) to get x
100/2.1256807705787=x
47.043752469368=x
x=47.043752469368

now we have:
159075.25 is 47.043752469368% of 338143.2