307.69 is what percent of 333.33 - 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 333.33 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 333.33, so we can write it down as 100%=333.33.
4. We know, that x% equals 307.69 of the output value, so we can write it down as x%=307.69.
5. Now we have two simple equations:
1) 100%=333.33
2) x%=307.69
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%=333.33/307.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 307.69 is what percent of 333.33

100%/x%=333.33/307.69
(100/x)*x=(333.33/307.69)*x       - we multiply both sides of the equation by x
100=1.0833306249797*x       - we divide both sides of the equation by (1.0833306249797) to get x
100/1.0833306249797=x
92.307923079231=x
x=92.307923079231

now we have:
307.69 is 92.307923079231% of 333.33