What is 0.825 percent of 456 - 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 456 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 456 is 100%, so we can write it down as 456=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) 456=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:
456/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 456

456/x=100/0.825
(456/x)*x=(100/0.825)*x       - we multiply both sides of the equation by x
456=121.21212121212*x       - we divide both sides of the equation by (121.21212121212) to get x
456/121.21212121212=x
3.762=x
x=3.762

now we have:
0.825% of 456=3.762