255.75 is what percent of 3650 - 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 3650 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 3650, so we can write it down as 100%=3650.
4. We know, that x% equals 255.75 of the output value, so we can write it down as x%=255.75.
5. Now we have two simple equations:
1) 100%=3650
2) x%=255.75
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%=3650/255.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 255.75 is what percent of 3650

100%/x%=3650/255.75
(100/x)*x=(3650/255.75)*x       - we multiply both sides of the equation by x
100=14.271749755621*x       - we divide both sides of the equation by (14.271749755621) to get x
100/14.271749755621=x
7.0068493150685=x
x=7.0068493150685

now we have:
255.75 is 7.0068493150685% of 3650