48 is what percent of 191 - 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 191 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 191, so we can write it down as 100%=191.
4. We know, that x% equals 48 of the output value, so we can write it down as x%=48.
5. Now we have two simple equations:
1) 100%=191
2) x%=48
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%=191/48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48 is what percent of 191

100%/x%=191/48
(100/x)*x=(191/48)*x       - we multiply both sides of the equation by x
100=3.9791666666667*x       - we divide both sides of the equation by (3.9791666666667) to get x
100/3.9791666666667=x
25.130890052356=x
x=25.130890052356

now we have:
48 is 25.130890052356% of 191