What is 17.1 percent of 110.2 - 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 110.2 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 110.2 is 100%, so we can write it down as 110.2=100%.
4. We know, that x is 17.1% of the output value, so we can write it down as x=17.1%.
5. Now we have two simple equations:
1) 110.2=100%
2) x=17.1%
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:
110.2/x=100%/17.1%
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 17.1% of 110.2

110.2/x=100/17.1
(110.2/x)*x=(100/17.1)*x       - we multiply both sides of the equation by x
110.2=5.84795321637*x       - we divide both sides of the equation by (5.84795321637) to get x
110.2/5.84795321637=x
18.8442=x
x=18.8442

now we have:
17.1% of 110.2=18.8442