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Baseline
String.countOccurrencesOf("string")
This function returns the Number of times that the literal 'string' appears in the String. If $MyString contains the word "aardvark", then:
$MyNumber = $MyString.countOccurrencesOf("a");
returns 3
$MyNumber = $MyString.countOccurrencesOf("aa");
returns 1
$MyNumber = $MyString.countOccurrencesOf("r");
returns 2
string is literal and must not be a regular expression. If the latter is needed use String.contains() or String.icontains().