What is 99.98 percent of 4286 - 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 4286 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 4286 is 100%, so we can write it down as 4286=100%.
4. We know, that x is 99.98% of the output value, so we can write it down as x=99.98%.
5. Now we have two simple equations:
1) 4286=100%
2) x=99.98%
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:
4286/x=100%/99.98%
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 99.98% of 4286

4286/x=100/99.98
(4286/x)*x=(100/99.98)*x       - we multiply both sides of the equation by x
4286=1.000200040008*x       - we divide both sides of the equation by (1.000200040008) to get x
4286/1.000200040008=x
4285.1428=x
x=4285.1428

now we have:
99.98% of 4286=4285.1428