262.4 is what percent of 280.44 - 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 280.44 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 280.44, so we can write it down as 100%=280.44.
4. We know, that x% equals 262.4 of the output value, so we can write it down as x%=262.4.
5. Now we have two simple equations:
1) 100%=280.44
2) x%=262.4
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%=280.44/262.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 262.4 is what percent of 280.44

100%/x%=280.44/262.4
(100/x)*x=(280.44/262.4)*x       - we multiply both sides of the equation by x
100=1.06875*x       - we divide both sides of the equation by (1.06875) to get x
100/1.06875=x
93.567251461988=x
x=93.567251461988

now we have:
262.4 is 93.567251461988% of 280.44