29.91 is what percent of 237.41 - 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 237.41 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 237.41, so we can write it down as 100%=237.41.
4. We know, that x% equals 29.91 of the output value, so we can write it down as x%=29.91.
5. Now we have two simple equations:
1) 100%=237.41
2) x%=29.91
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%=237.41/29.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.91 is what percent of 237.41

100%/x%=237.41/29.91
(100/x)*x=(237.41/29.91)*x       - we multiply both sides of the equation by x
100=7.9374791039786*x       - we divide both sides of the equation by (7.9374791039786) to get x
100/7.9374791039786=x
12.598458363169=x
x=12.598458363169

now we have:
29.91 is 12.598458363169% of 237.41