What is 1.08 percent of 42823 - 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 42823 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 42823 is 100%, so we can write it down as 42823=100%.
4. We know, that x is 1.08% of the output value, so we can write it down as x=1.08%.
5. Now we have two simple equations:
1) 42823=100%
2) x=1.08%
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:
42823/x=100%/1.08%
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 1.08% of 42823

42823/x=100/1.08
(42823/x)*x=(100/1.08)*x       - we multiply both sides of the equation by x
42823=92.592592592593*x       - we divide both sides of the equation by (92.592592592593) to get x
42823/92.592592592593=x
462.4884=x
x=462.4884

now we have:
1.08% of 42823=462.4884