What is 85.33333 percent of 307.5 - 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 307.5 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 307.5 is 100%, so we can write it down as 307.5=100%.
4. We know, that x is 85.33333% of the output value, so we can write it down as x=85.33333%.
5. Now we have two simple equations:
1) 307.5=100%
2) x=85.33333%
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:
307.5/x=100%/85.33333%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 85.33333% of 307.5

307.5/x=100/85.33333
(307.5/x)*x=(100/85.33333)*x       - we multiply both sides of the equation by x
307.5=1.1718750457764*x       - we divide both sides of the equation by (1.1718750457764) to get x
307.5/1.1718750457764=x
262.39998975=x
x=262.39998975

now we have:
85.33333% of 307.5=262.39998975