40.82 is what percent of 29.55 - 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 29.55 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 29.55, so we can write it down as 100%=29.55.
4. We know, that x% equals 40.82 of the output value, so we can write it down as x%=40.82.
5. Now we have two simple equations:
1) 100%=29.55
2) x%=40.82
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%=29.55/40.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.82 is what percent of 29.55

100%/x%=29.55/40.82
(100/x)*x=(29.55/40.82)*x       - we multiply both sides of the equation by x
100=0.72390984811367*x       - we divide both sides of the equation by (0.72390984811367) to get x
100/0.72390984811367=x
138.13874788494=x
x=138.13874788494

now we have:
40.82 is 138.13874788494% of 29.55