What is 36 percent of 27.82 - 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 27.82 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 27.82 is 100%, so we can write it down as 27.82=100%.
4. We know, that x is 36% of the output value, so we can write it down as x=36%.
5. Now we have two simple equations:
1) 27.82=100%
2) x=36%
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:
27.82/x=100%/36%
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 36% of 27.82

27.82/x=100/36
(27.82/x)*x=(100/36)*x       - we multiply both sides of the equation by x
27.82=2.7777777777778*x       - we divide both sides of the equation by (2.7777777777778) to get x
27.82/2.7777777777778=x
10.0152=x
x=10.0152

now we have:
36% of 27.82=10.0152