What is 0.23 percent of 33.75 - 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 33.75 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 33.75 is 100%, so we can write it down as 33.75=100%.
4. We know, that x is 0.23% of the output value, so we can write it down as x=0.23%.
5. Now we have two simple equations:
1) 33.75=100%
2) x=0.23%
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:
33.75/x=100%/0.23%
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 0.23% of 33.75

33.75/x=100/0.23
(33.75/x)*x=(100/0.23)*x       - we multiply both sides of the equation by x
33.75=434.78260869565*x       - we divide both sides of the equation by (434.78260869565) to get x
33.75/434.78260869565=x
0.077625=x
x=0.077625

now we have:
0.23% of 33.75=0.077625