What is 1.382 percent of 27.65 - 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 27.65 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 27.65 is 100%, so we can write it down as 27.65=100%.
4. We know, that x is 1.382% of the output value, so we can write it down as x=1.382%.
5. Now we have two simple equations:
1) 27.65=100%
2) x=1.382%
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:
27.65/x=100%/1.382%
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 1.382% of 27.65

27.65/x=100/1.382
(27.65/x)*x=(100/1.382)*x       - we multiply both sides of the equation by x
27.65=72.358900144718*x       - we divide both sides of the equation by (72.358900144718) to get x
27.65/72.358900144718=x
0.382123=x
x=0.382123

now we have:
1.382% of 27.65=0.382123