This static method does returns the number of occurrences of a string on another string.
/**
 * Returns the number of appearances that a string have on another string.
 * 
 * @param source    a string to use as source of the match
 * @param sentence  a string that is a substring of source
 * @return the number of occurrences of sentence on source 
 */
public static int numberOfOccurrences(String source, String sentence) {
    int occurrences = 0;
    if (source.contains(sentence)) {
        int withSentenceLength    = source.length();
        int withoutSentenceLength = source.replace(sentence, "").length();
        occurrences = (withSentenceLength - withoutSentenceLength) / sentence.length();
    }
    return occurrences;
}
Tests:
String source = "Hello World!";
numberOfOccurrences(source, "Hello World!");   // 1
numberOfOccurrences(source, "ello W");         // 1
numberOfOccurrences(source, "l");              // 3
numberOfOccurrences(source, "fun");            // 0
numberOfOccurrences(source, "Hello");          // 1
BTW, the method could be written in one line, awful, but it also works :)
public static int numberOfOccurrences(String source, String sentence) {
    return (source.contains(sentence)) ? (source.length() - source.replace(sentence, "").length()) / sentence.length() : 0;
}