How to do solve this: what is 63% of 82?

In a calculator you would take 82 * 0.63 which equals 51.66

To get the solution, we are looking for, we need to point out what we know.  

1. We assume, that the number 81 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 81 is 100%, so we can write it down as 81=100%.  

4. We know, that x is 63% of the output value, so we can write it down as x=63%.  

5. Now we have two simple equations:

1) 81=100%

2) x=63%

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:

81/x=100%/63%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 63% of 81

81/x=100/63

(81/x)*x=(100/63)*x       - we multiply both sides of the equation by x

81=1.5873015873*x       - we divide both sides of the equation by (1.5873015873) to get x

81/1.5873015873=x  

51.03=x  

x=51.03

now we have:  

63% of 81=51.03

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation: