There are four different types of Excel Operators. These are:
Arithmetic Operators 
Text Operator 
Comparison Operators 
Reference Operators 
Each of these Operator types are discussed individually below.
The Excel Arithmetic Operators and the order in which they are evaluated are shown in the table below:
Operator  Description  Precedence (1=top; 3=bottom) 

%  The percent operator  1 
^  The exponentiation operator  1 
*  The multiplication operator  2 
/  The division operator  2 
+  The addition operator  3 
  The subtraction operator  3 
The table above shows that the percent and exponentiation operators have the greatest precedence, followed by the multiplication and division operators, and then the addition and subtraction operators. Therefore, when evaluating Excel Formulas that contain more than one arithmetic operator, the percent and exponentiation operators are evaluated first, followed by multiplication and division operators. Finally, the addition and subtraction operators are evaluated.
The order in which these operators are evaluated makes a huge difference to the result of your Excel Formulas. However, brackets can be used to force parts of a formula to be evaluated first. If a part of a formula is encased in brackets, the bracketed part of the formula takes precedence over all of the above listed operators. This is illustrated in the following examples:
Formulas:
 Results:

The Excel Concatenation Operator (denoted by the & symbol) joins together text strings, to make a further, single text string.
The following formula uses the concatenation operator to combine the text strings "SMITH", ", " and "John"
Formulas:
 Results:

The Excel Comparison Operators are used when defining conditions (for example when using the Excel If Function). These operators are listed in the table below:
Operator  Description 

=  Equal to 
>  Greater than 
<  Less than 
>=  Greater than or equal to 
<=  Less than or equal to 
<>  Not equal to 
The spreadsheets below show examples of the comparison operators used with the Excel If Function.
Formulas:
 
Results:

The Excel Reference Operators are used when referring to ranges within a spreadsheet. The reference operators are:
Operator  Description 

:  Range operator (defines a reference to a range of cells) 
,  Union operator (combines two references into a single reference) 
(space)  Intersection operator (returns a reference to the intersection of two ranges) 
Cell C1 of the spreadsheet below, shows the range operator, used to define the range A1  B3. The range is then provided to the Excel Sum Function, which adds together the values in cells A1  B3 and returns the value 21.
A  B  C  

1  1  2  =SUM(A1:B3) 
2  3  4  
3  5  6 
Cell C1 of the spreadsheet below, shows the union operator, used to define a range made up of cells in the two ranges A1  A3 and A1  B1. The resulting range is then provided to the Excel Sum Function, which adds together the values in the combined range and returns the value 12.
(Note that cell A1, which is included in both ranges A1  A3 and A1  B1 is counted twice in the sum calculation).
Cell C1 of the spreadsheet below, shows the intersection operator, used to define a range made up of cells in the intersection of ranges A1  A3 and A1  B2. The resulting range (range A1  A2) is then provided to the Excel Sum Function, which adds together the values in the intersecting range and returns the value 4.
Further information on Excel Operators is provided on the Microsoft Office website.