If 12% = 1050, what is 100%

Question

Just can't wrap my head around it.

 

Thanks

Answer 1

With word (story) problems there is a translation from English phrases (that often leave out words) to concise, precise math expressions (with variables and operations).

 

"If 12% = 1050, what is 100%"   means "If (12%)x = 1050, what is (100%)x ?"

 

Now, 12% may also be written as 12/100 or 0.12 as needed for the problem.

 

So, translating:

  "If (12%)x = 1050, what is (100%)x ?"

       (12/100)x = 1050

         12x = 105000                  [multiply both sides by 100]

           x = 8750                       [divide both sides by 12]

                                  [note:  (100%)x = x]

Answer 2

Set a proportion.

 

Ratio of percentages = ratio of values

 

12 / 100 = 1050 / x

 

where x is the value at 100%.

 

 

Solve for x from the proportion.