What is 0.828 percent of 2.5 - 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 2.5 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 2.5 is 100%, so we can write it down as 2.5=100%.
4. We know, that x is 0.828% of the output value, so we can write it down as x=0.828%.
5. Now we have two simple equations:
1) 2.5=100%
2) x=0.828%
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:
2.5/x=100%/0.828%
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 0.828% of 2.5

2.5/x=100/0.828
(2.5/x)*x=(100/0.828)*x       - we multiply both sides of the equation by x
2.5=120.7729468599*x       - we divide both sides of the equation by (120.7729468599) to get x
2.5/120.7729468599=x
0.0207=x
x=0.0207

now we have:
0.828% of 2.5=0.0207