What is 27.42 percent of 102.2 - 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 102.2 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 102.2 is 100%, so we can write it down as 102.2=100%.
4. We know, that x is 27.42% of the output value, so we can write it down as x=27.42%.
5. Now we have two simple equations:
1) 102.2=100%
2) x=27.42%
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:
102.2/x=100%/27.42%
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 27.42% of 102.2

102.2/x=100/27.42
(102.2/x)*x=(100/27.42)*x       - we multiply both sides of the equation by x
102.2=3.6469730123997*x       - we divide both sides of the equation by (3.6469730123997) to get x
102.2/3.6469730123997=x
28.02324=x
x=28.02324

now we have:
27.42% of 102.2=28.02324