268.3 is what percent of 333 - 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 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, so we can write it down as 100%=333.
4. We know, that x% equals 268.3 of the output value, so we can write it down as x%=268.3.
5. Now we have two simple equations:
1) 100%=333
2) x%=268.3
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%=333/268.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 268.3 is what percent of 333

100%/x%=333/268.3
(100/x)*x=(333/268.3)*x       - we multiply both sides of the equation by x
100=1.2411479686918*x       - we divide both sides of the equation by (1.2411479686918) to get x
100/1.2411479686918=x
80.570570570571=x
x=80.570570570571

now we have:
268.3 is 80.570570570571% of 333