What is 0.09999999 percent of 352 - 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 352 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 352 is 100%, so we can write it down as 352=100%.
4. We know, that x is 0.09999999% of the output value, so we can write it down as x=0.09999999%.
5. Now we have two simple equations:
1) 352=100%
2) x=0.09999999%
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:
352/x=100%/0.09999999%
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 0.09999999% of 352

352/x=100/0.09999999
(352/x)*x=(100/0.09999999)*x       - we multiply both sides of the equation by x
352=1000.0001*x       - we divide both sides of the equation by (1000.0001) to get x
352/1000.0001=x
0.3519999648=x
x=0.3519999648

now we have:
0.09999999% of 352=0.3519999648