What is 0.2 percent of 202.5 - 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 202.5 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 202.5 is 100%, so we can write it down as 202.5=100%.
4. We know, that x is 0.2% of the output value, so we can write it down as x=0.2%.
5. Now we have two simple equations:
1) 202.5=100%
2) x=0.2%
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:
202.5/x=100%/0.2%
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 0.2% of 202.5

202.5/x=100/0.2
(202.5/x)*x=(100/0.2)*x       - we multiply both sides of the equation by x
202.5=500*x       - we divide both sides of the equation by (500) to get x
202.5/500=x
0.405=x
x=0.405

now we have:
0.2% of 202.5=0.405