What is 1.04166666 percent of 1.5625 - 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 1.5625 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 1.5625 is 100%, so we can write it down as 1.5625=100%.
4. We know, that x is 1.04166666% of the output value, so we can write it down as x=1.04166666%.
5. Now we have two simple equations:
1) 1.5625=100%
2) x=1.04166666%
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:
1.5625/x=100%/1.04166666%
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 1.04166666% of 1.5625

1.5625/x=100/1.04166666
(1.5625/x)*x=(100/1.04166666)*x       - we multiply both sides of the equation by x
1.5625=96.0000006144*x       - we divide both sides of the equation by (96.0000006144) to get x
1.5625/96.0000006144=x
0.0162760415625=x
x=0.0162760415625

now we have:
1.04166666% of 1.5625=0.0162760415625