262.85 is what percent of 301 - 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 301 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 301, so we can write it down as 100%=301.
4. We know, that x% equals 262.85 of the output value, so we can write it down as x%=262.85.
5. Now we have two simple equations:
1) 100%=301
2) x%=262.85
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%=301/262.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 262.85 is what percent of 301

100%/x%=301/262.85
(100/x)*x=(301/262.85)*x       - we multiply both sides of the equation by x
100=1.1451398135819*x       - we divide both sides of the equation by (1.1451398135819) to get x
100/1.1451398135819=x
87.325581395349=x
x=87.325581395349

now we have:
262.85 is 87.325581395349% of 301