28.75 is what percent of 137.75 - 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 137.75 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 137.75, so we can write it down as 100%=137.75.
4. We know, that x% equals 28.75 of the output value, so we can write it down as x%=28.75.
5. Now we have two simple equations:
1) 100%=137.75
2) x%=28.75
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%=137.75/28.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.75 is what percent of 137.75

100%/x%=137.75/28.75
(100/x)*x=(137.75/28.75)*x       - we multiply both sides of the equation by x
100=4.7913043478261*x       - we divide both sides of the equation by (4.7913043478261) to get x
100/4.7913043478261=x
20.871143375681=x
x=20.871143375681

now we have:
28.75 is 20.871143375681% of 137.75