What is 25.2 percent of 110.1 - 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 110.1 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 110.1 is 100%, so we can write it down as 110.1=100%.
4. We know, that x is 25.2% of the output value, so we can write it down as x=25.2%.
5. Now we have two simple equations:
1) 110.1=100%
2) x=25.2%
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:
110.1/x=100%/25.2%
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 25.2% of 110.1

110.1/x=100/25.2
(110.1/x)*x=(100/25.2)*x       - we multiply both sides of the equation by x
110.1=3.968253968254*x       - we divide both sides of the equation by (3.968253968254) to get x
110.1/3.968253968254=x
27.7452=x
x=27.7452

now we have:
25.2% of 110.1=27.7452