What is 1.04 percent of 821.5 - 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 821.5 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 821.5 is 100%, so we can write it down as 821.5=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) 821.5=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:
821.5/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 821.5

821.5/x=100/1.04
(821.5/x)*x=(100/1.04)*x       - we multiply both sides of the equation by x
821.5=96.153846153846*x       - we divide both sides of the equation by (96.153846153846) to get x
821.5/96.153846153846=x
8.5436=x
x=8.5436

now we have:
1.04% of 821.5=8.5436