159.8 is what percent of 378 - 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 378 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 378, so we can write it down as 100%=378.
4. We know, that x% equals 159.8 of the output value, so we can write it down as x%=159.8.
5. Now we have two simple equations:
1) 100%=378
2) x%=159.8
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%=378/159.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 159.8 is what percent of 378

100%/x%=378/159.8
(100/x)*x=(378/159.8)*x       - we multiply both sides of the equation by x
100=2.3654568210263*x       - we divide both sides of the equation by (2.3654568210263) to get x
100/2.3654568210263=x
42.275132275132=x
x=42.275132275132

now we have:
159.8 is 42.275132275132% of 378