449.2 is what percent of 1598.98 - 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 1598.98 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 1598.98, so we can write it down as 100%=1598.98.
4. We know, that x% equals 449.2 of the output value, so we can write it down as x%=449.2.
5. Now we have two simple equations:
1) 100%=1598.98
2) x%=449.2
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%=1598.98/449.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 449.2 is what percent of 1598.98

100%/x%=1598.98/449.2
(100/x)*x=(1598.98/449.2)*x       - we multiply both sides of the equation by x
100=3.5596170970614*x       - we divide both sides of the equation by (3.5596170970614) to get x
100/3.5596170970614=x
28.092909229634=x
x=28.092909229634

now we have:
449.2 is 28.092909229634% of 1598.98