259.73 is what percent of 305 - 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 305 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 305, so we can write it down as 100%=305.
4. We know, that x% equals 259.73 of the output value, so we can write it down as x%=259.73.
5. Now we have two simple equations:
1) 100%=305
2) x%=259.73
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%=305/259.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 259.73 is what percent of 305

100%/x%=305/259.73
(100/x)*x=(305/259.73)*x       - we multiply both sides of the equation by x
100=1.1742963847072*x       - we divide both sides of the equation by (1.1742963847072) to get x
100/1.1742963847072=x
85.15737704918=x
x=85.15737704918

now we have:
259.73 is 85.15737704918% of 305