What is 11.88 percent of 102.45 - 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 102.45 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 102.45 is 100%, so we can write it down as 102.45=100%.
4. We know, that x is 11.88% of the output value, so we can write it down as x=11.88%.
5. Now we have two simple equations:
1) 102.45=100%
2) x=11.88%
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:
102.45/x=100%/11.88%
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 11.88% of 102.45

102.45/x=100/11.88
(102.45/x)*x=(100/11.88)*x       - we multiply both sides of the equation by x
102.45=8.4175084175084*x       - we divide both sides of the equation by (8.4175084175084) to get x
102.45/8.4175084175084=x
12.17106=x
x=12.17106

now we have:
11.88% of 102.45=12.17106