19.75 is what percent of 280.25 - 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 280.25 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 280.25, so we can write it down as 100%=280.25.
4. We know, that x% equals 19.75 of the output value, so we can write it down as x%=19.75.
5. Now we have two simple equations:
1) 100%=280.25
2) x%=19.75
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%=280.25/19.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.75 is what percent of 280.25

100%/x%=280.25/19.75
(100/x)*x=(280.25/19.75)*x       - we multiply both sides of the equation by x
100=14.189873417722*x       - we divide both sides of the equation by (14.189873417722) to get x
100/14.189873417722=x
7.0472792149866=x
x=7.0472792149866

now we have:
19.75 is 7.0472792149866% of 280.25