What is 77.777778 percent of 40 - 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 40 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 40 is 100%, so we can write it down as 40=100%.
4. We know, that x is 77.777778% of the output value, so we can write it down as x=77.777778%.
5. Now we have two simple equations:
1) 40=100%
2) x=77.777778%
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:
40/x=100%/77.777778%
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 77.777778% of 40

40/x=100/77.777778
(40/x)*x=(100/77.777778)*x       - we multiply both sides of the equation by x
40=1.2857142820408*x       - we divide both sides of the equation by (1.2857142820408) to get x
40/1.2857142820408=x
31.1111112=x
x=31.1111112

now we have:
77.777778% of 40=31.1111112