What is 33.333 percent of 774.24 - 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 774.24 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 774.24 is 100%, so we can write it down as 774.24=100%.
4. We know, that x is 33.333% of the output value, so we can write it down as x=33.333%.
5. Now we have two simple equations:
1) 774.24=100%
2) x=33.333%
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:
774.24/x=100%/33.333%
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 33.333% of 774.24

774.24/x=100/33.333
(774.24/x)*x=(100/33.333)*x       - we multiply both sides of the equation by x
774.24=3.0000300003*x       - we divide both sides of the equation by (3.0000300003) to get x
774.24/3.0000300003=x
258.0774192=x
x=258.0774192

now we have:
33.333% of 774.24=258.0774192