Find 83 2/3 % of 12.6 (or What number is 83 2/3 % of 12.6?)


The PERCENT always goes over 100.
(It's a part of the whole 100%.)
12.6 appears with the word of:
It's the WHOLE and goes on the bottom.


We're trying to find the missing PART (on the top).


In a proportion the crossproducts are equal:
So 12.6 times 83 2/3 is equal to 100 times the PART.

The missing PART equals 12.6 times 83 2/3 divided by 100.


(Multiply the two opposite corners with numbers; then divide by the other number.)


12.6 times 83 ^{2}/_{3 } 
= 
100 times the part

(^{126}/_{10})(^{251}/_{3}) 
= 
100 times the part

^{31626}/_{30} 
= 
100 times the part

(^{31626}/_{30})(^{1}/_{100}) 
= 
(^{100}/_{1})(^{1}/_{100})( the part)

^{31626}/_{3000} 
= 
the part

^{10542}/_{1000} 
= 
the part

10.542 
= 
the part



PLEASE NOTE: There are MANY other ways to do the arithmetic in this problem  hopefully this shows the steps in an understandable manner; it is neither the easiest nor the best approach.


