What is 9.09 percent of 405.02 - 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 405.02 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 405.02 is 100%, so we can write it down as 405.02=100%.
4. We know, that x is 9.09% of the output value, so we can write it down as x=9.09%.
5. Now we have two simple equations:
1) 405.02=100%
2) x=9.09%
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:
405.02/x=100%/9.09%
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 9.09% of 405.02

405.02/x=100/9.09
(405.02/x)*x=(100/9.09)*x       - we multiply both sides of the equation by x
405.02=11.001100110011*x       - we divide both sides of the equation by (11.001100110011) to get x
405.02/11.001100110011=x
36.816318=x
x=36.816318

now we have:
9.09% of 405.02=36.816318