What is 27.7777777778 percent of 36 - 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 36 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 36 is 100%, so we can write it down as 36=100%.
4. We know, that x is 27.7777777778% of the output value, so we can write it down as x=27.7777777778%.
5. Now we have two simple equations:
1) 36=100%
2) x=27.7777777778%
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:
36/x=100%/27.7777777778%
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 27.7777777778% of 36

36/x=100/27.7777777778
(36/x)*x=(100/27.7777777778)*x       - we multiply both sides of the equation by x
36=3.5999999999971*x       - we divide both sides of the equation by (3.5999999999971) to get x
36/3.5999999999971=x
10.000000000008=x
x=10.000000000008

now we have:
27.7777777778% of 36=10.000000000008