What is 9.9 percent of 364 - 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 364 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 364 is 100%, so we can write it down as 364=100%.
4. We know, that x is 9.9% of the output value, so we can write it down as x=9.9%.
5. Now we have two simple equations:
1) 364=100%
2) x=9.9%
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:
364/x=100%/9.9%
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 9.9% of 364

364/x=100/9.9
(364/x)*x=(100/9.9)*x       - we multiply both sides of the equation by x
364=10.10101010101*x       - we divide both sides of the equation by (10.10101010101) to get x
364/10.10101010101=x
36.036=x
x=36.036

now we have:
9.9% of 364=36.036