What is 1.04 percent of 48.765 - 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 48.765 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 48.765 is 100%, so we can write it down as 48.765=100%.
4. We know, that x is 1.04% of the output value, so we can write it down as x=1.04%.
5. Now we have two simple equations:
1) 48.765=100%
2) x=1.04%
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:
48.765/x=100%/1.04%
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 1.04% of 48.765

48.765/x=100/1.04
(48.765/x)*x=(100/1.04)*x       - we multiply both sides of the equation by x
48.765=96.153846153846*x       - we divide both sides of the equation by (96.153846153846) to get x
48.765/96.153846153846=x
0.507156=x
x=0.507156

now we have:
1.04% of 48.765=0.507156