What is 77.8889 percent of 330 - 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 330 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 330 is 100%, so we can write it down as 330=100%.
4. We know, that x is 77.8889% of the output value, so we can write it down as x=77.8889%.
5. Now we have two simple equations:
1) 330=100%
2) x=77.8889%
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:
330/x=100%/77.8889%
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 77.8889% of 330

330/x=100/77.8889
(330/x)*x=(100/77.8889)*x       - we multiply both sides of the equation by x
330=1.2838799880342*x       - we divide both sides of the equation by (1.2838799880342) to get x
330/1.2838799880342=x
257.03337=x
x=257.03337

now we have:
77.8889% of 330=257.03337