259.67 is what percent of 365 - 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 365 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 365, so we can write it down as 100%=365.
4. We know, that x% equals 259.67 of the output value, so we can write it down as x%=259.67.
5. Now we have two simple equations:
1) 100%=365
2) x%=259.67
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%=365/259.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 259.67 is what percent of 365

100%/x%=365/259.67
(100/x)*x=(365/259.67)*x       - we multiply both sides of the equation by x
100=1.4056302229753*x       - we divide both sides of the equation by (1.4056302229753) to get x
100/1.4056302229753=x
71.142465753425=x
x=71.142465753425

now we have:
259.67 is 71.142465753425% of 365