15.98 is what percent of 1599.2 - 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 1599.2 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 1599.2, so we can write it down as 100%=1599.2.
4. We know, that x% equals 15.98 of the output value, so we can write it down as x%=15.98.
5. Now we have two simple equations:
1) 100%=1599.2
2) x%=15.98
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:
100%/x%=1599.2/15.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.98 is what percent of 1599.2

100%/x%=1599.2/15.98
(100/x)*x=(1599.2/15.98)*x       - we multiply both sides of the equation by x
100=100.07509386733*x       - we divide both sides of the equation by (100.07509386733) to get x
100/100.07509386733=x
0.99924962481241=x
x=0.99924962481241

now we have:
15.98 is 0.99924962481241% of 1599.2