999.87 is what percent of 3.09 - 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 3.09 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 100% equals 3.09, so we can write it down as 100%=3.09.
4. We know, that x% equals 999.87 of the output value, so we can write it down as x%=999.87.
5. Now we have two simple equations:
1) 100%=3.09
2) x%=999.87
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:
100%/x%=3.09/999.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 999.87 is what percent of 3.09

100%/x%=3.09/999.87
(100/x)*x=(3.09/999.87)*x       - we multiply both sides of the equation by x
100=0.0030904017522278*x       - we divide both sides of the equation by (0.0030904017522278) to get x
100/0.0030904017522278=x
32358.252427184=x
x=32358.252427184

now we have:
999.87 is 32358.252427184% of 3.09