What is 27.84 percent of 138 - 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 138 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 138 is 100%, so we can write it down as 138=100%.
4. We know, that x is 27.84% of the output value, so we can write it down as x=27.84%.
5. Now we have two simple equations:
1) 138=100%
2) x=27.84%
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:
138/x=100%/27.84%
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 27.84% of 138

138/x=100/27.84
(138/x)*x=(100/27.84)*x       - we multiply both sides of the equation by x
138=3.5919540229885*x       - we divide both sides of the equation by (3.5919540229885) to get x
138/3.5919540229885=x
38.4192=x
x=38.4192

now we have:
27.84% of 138=38.4192