49.85 is what percent of 159.8 - 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 159.8 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 159.8, so we can write it down as 100%=159.8.
4. We know, that x% equals 49.85 of the output value, so we can write it down as x%=49.85.
5. Now we have two simple equations:
1) 100%=159.8
2) x%=49.85
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%=159.8/49.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.85 is what percent of 159.8

100%/x%=159.8/49.85
(100/x)*x=(159.8/49.85)*x       - we multiply both sides of the equation by x
100=3.2056168505517*x       - we divide both sides of the equation by (3.2056168505517) to get x
100/3.2056168505517=x
31.195244055069=x
x=31.195244055069

now we have:
49.85 is 31.195244055069% of 159.8