What is 99.87 percent of 1000.4 - 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 1000.4 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 1000.4 is 100%, so we can write it down as 1000.4=100%.
4. We know, that x is 99.87% of the output value, so we can write it down as x=99.87%.
5. Now we have two simple equations:
1) 1000.4=100%
2) x=99.87%
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:
1000.4/x=100%/99.87%
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 99.87% of 1000.4

1000.4/x=100/99.87
(1000.4/x)*x=(100/99.87)*x       - we multiply both sides of the equation by x
1000.4=1.0013016921999*x       - we divide both sides of the equation by (1.0013016921999) to get x
1000.4/1.0013016921999=x
999.09948=x
x=999.09948

now we have:
99.87% of 1000.4=999.09948