280.06 is what percent of 798.25 - 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 798.25 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 798.25, so we can write it down as 100%=798.25.
4. We know, that x% equals 280.06 of the output value, so we can write it down as x%=280.06.
5. Now we have two simple equations:
1) 100%=798.25
2) x%=280.06
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%=798.25/280.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 280.06 is what percent of 798.25

100%/x%=798.25/280.06
(100/x)*x=(798.25/280.06)*x       - we multiply both sides of the equation by x
100=2.8502820824109*x       - we divide both sides of the equation by (2.8502820824109) to get x
100/2.8502820824109=x
35.084246789853=x
x=35.084246789853

now we have:
280.06 is 35.084246789853% of 798.25