4.49 is what percent of 30.98 - 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 30.98 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 30.98, so we can write it down as 100%=30.98.
4. We know, that x% equals 4.49 of the output value, so we can write it down as x%=4.49.
5. Now we have two simple equations:
1) 100%=30.98
2) x%=4.49
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%=30.98/4.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.49 is what percent of 30.98

100%/x%=30.98/4.49
(100/x)*x=(30.98/4.49)*x       - we multiply both sides of the equation by x
100=6.8997772828508*x       - we divide both sides of the equation by (6.8997772828508) to get x
100/6.8997772828508=x
14.493221433183=x
x=14.493221433183

now we have:
4.49 is 14.493221433183% of 30.98