2.96 is what percent of 30.49 - 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 30.49 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 30.49, so we can write it down as 100%=30.49.
4. We know, that x% equals 2.96 of the output value, so we can write it down as x%=2.96.
5. Now we have two simple equations:
1) 100%=30.49
2) x%=2.96
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%=30.49/2.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.96 is what percent of 30.49

100%/x%=30.49/2.96
(100/x)*x=(30.49/2.96)*x       - we multiply both sides of the equation by x
100=10.300675675676*x       - we divide both sides of the equation by (10.300675675676) to get x
100/10.300675675676=x
9.7081010167268=x
x=9.7081010167268

now we have:
2.96 is 9.7081010167268% of 30.49