49.91 is what percent of 189.51 - 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 189.51 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 189.51, so we can write it down as 100%=189.51.
4. We know, that x% equals 49.91 of the output value, so we can write it down as x%=49.91.
5. Now we have two simple equations:
1) 100%=189.51
2) x%=49.91
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%=189.51/49.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.91 is what percent of 189.51

100%/x%=189.51/49.91
(100/x)*x=(189.51/49.91)*x       - we multiply both sides of the equation by x
100=3.7970346623923*x       - we divide both sides of the equation by (3.7970346623923) to get x
100/3.7970346623923=x
26.33634109018=x
x=26.33634109018

now we have:
49.91 is 26.33634109018% of 189.51