Answer:
30
Step-by-step explanation:
First, you need to find the original number whose 36% is 180.
To do so, you can use the generic equation below:
[tex]\frac{resultant}{orignalnumber} =\frac{percent}{100percent}[/tex]
Now plug in the variables
resultant = 180 because the resulting number of the % is 180
percent = 36% because 180 is 36% of number
original number = represented by x
[tex]\frac{180}{x} =\frac{36}{100}[/tex]
36 * x = 180 * 100
36x = 18000
x = 18000/36 = 500
Next, find 6% of the original number, 500
To do that, simply plug in the numbers into the generic equation used above:
resultant = represented by x
percent = 6%
original number = 500
[tex]\frac{x}{500} =\frac{6}{100}[/tex]
100 * x = 6 * 500
100x = 3000
x = 3000/100 = 30
