What is 1.25 percent of 45.906 - 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 45.906 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 45.906 is 100%, so we can write it down as 45.906=100%.
4. We know, that x is 1.25% of the output value, so we can write it down as x=1.25%.
5. Now we have two simple equations:
1) 45.906=100%
2) x=1.25%
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:
45.906/x=100%/1.25%
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 1.25% of 45.906

45.906/x=100/1.25
(45.906/x)*x=(100/1.25)*x       - we multiply both sides of the equation by x
45.906=80*x       - we divide both sides of the equation by (80) to get x
45.906/80=x
0.573825=x
x=0.573825

now we have:
1.25% of 45.906=0.573825