What is 0.825 percent of 4.25 - 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 4.25 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 4.25 is 100%, so we can write it down as 4.25=100%.
4. We know, that x is 0.825% of the output value, so we can write it down as x=0.825%.
5. Now we have two simple equations:
1) 4.25=100%
2) x=0.825%
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:
4.25/x=100%/0.825%
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 0.825% of 4.25

4.25/x=100/0.825
(4.25/x)*x=(100/0.825)*x       - we multiply both sides of the equation by x
4.25=121.21212121212*x       - we divide both sides of the equation by (121.21212121212) to get x
4.25/121.21212121212=x
0.0350625=x
x=0.0350625

now we have:
0.825% of 4.25=0.0350625