What is 8.9698 percent of 145.47 - 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 145.47 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 145.47 is 100%, so we can write it down as 145.47=100%.
4. We know, that x is 8.9698% of the output value, so we can write it down as x=8.9698%.
5. Now we have two simple equations:
1) 145.47=100%
2) x=8.9698%
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:
145.47/x=100%/8.9698%
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 8.9698% of 145.47

145.47/x=100/8.9698
(145.47/x)*x=(100/8.9698)*x       - we multiply both sides of the equation by x
145.47=11.148520591318*x       - we divide both sides of the equation by (11.148520591318) to get x
145.47/11.148520591318=x
13.04836806=x
x=13.04836806

now we have:
8.9698% of 145.47=13.04836806