65.36 is what percent of 280.36 - 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 280.36 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 280.36, so we can write it down as 100%=280.36.
4. We know, that x% equals 65.36 of the output value, so we can write it down as x%=65.36.
5. Now we have two simple equations:
1) 100%=280.36
2) x%=65.36
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%=280.36/65.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.36 is what percent of 280.36

100%/x%=280.36/65.36
(100/x)*x=(280.36/65.36)*x       - we multiply both sides of the equation by x
100=4.2894736842105*x       - we divide both sides of the equation by (4.2894736842105) to get x
100/4.2894736842105=x
23.312883435583=x
x=23.312883435583

now we have:
65.36 is 23.312883435583% of 280.36