What is 1.03 percent of 822 - 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 822 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 822 is 100%, so we can write it down as 822=100%.
4. We know, that x is 1.03% of the output value, so we can write it down as x=1.03%.
5. Now we have two simple equations:
1) 822=100%
2) x=1.03%
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:
822/x=100%/1.03%
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 1.03% of 822

822/x=100/1.03
(822/x)*x=(100/1.03)*x       - we multiply both sides of the equation by x
822=97.087378640777*x       - we divide both sides of the equation by (97.087378640777) to get x
822/97.087378640777=x
8.4666=x
x=8.4666

now we have:
1.03% of 822=8.4666