29.73 is what percent of 186.23 - 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 186.23 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 186.23, so we can write it down as 100%=186.23.
4. We know, that x% equals 29.73 of the output value, so we can write it down as x%=29.73.
5. Now we have two simple equations:
1) 100%=186.23
2) x%=29.73
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%=186.23/29.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.73 is what percent of 186.23

100%/x%=186.23/29.73
(100/x)*x=(186.23/29.73)*x       - we multiply both sides of the equation by x
100=6.2640430541541*x       - we divide both sides of the equation by (6.2640430541541) to get x
100/6.2640430541541=x
15.964130376416=x
x=15.964130376416

now we have:
29.73 is 15.964130376416% of 186.23