What is 2.3 percent of 882.5 - 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 882.5 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 882.5 is 100%, so we can write it down as 882.5=100%.
4. We know, that x is 2.3% of the output value, so we can write it down as x=2.3%.
5. Now we have two simple equations:
1) 882.5=100%
2) x=2.3%
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:
882.5/x=100%/2.3%
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 2.3% of 882.5

882.5/x=100/2.3
(882.5/x)*x=(100/2.3)*x       - we multiply both sides of the equation by x
882.5=43.478260869565*x       - we divide both sides of the equation by (43.478260869565) to get x
882.5/43.478260869565=x
20.2975=x
x=20.2975

now we have:
2.3% of 882.5=20.2975