4.97 is what percent of 30.19 - 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 30.19 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 30.19, so we can write it down as 100%=30.19.
4. We know, that x% equals 4.97 of the output value, so we can write it down as x%=4.97.
5. Now we have two simple equations:
1) 100%=30.19
2) x%=4.97
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%=30.19/4.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.97 is what percent of 30.19

100%/x%=30.19/4.97
(100/x)*x=(30.19/4.97)*x       - we multiply both sides of the equation by x
100=6.0744466800805*x       - we divide both sides of the equation by (6.0744466800805) to get x
100/6.0744466800805=x
16.462404769791=x
x=16.462404769791

now we have:
4.97 is 16.462404769791% of 30.19