There are lots of string matching algorithms. For your purpose, I would recommend the Levenshtein algorithm. It is the algorithm that is used in Microsoft Word for auto correction. The algorithm returns the amount of mutations a string needs to process before it can reach another string.
Example code (source)
using System;
/// <summary>
/// Contains approximate string matching
/// </summary>
static class LevenshteinDistance
{
    /// <summary>
    /// Compute the distance between two strings.
    /// </summary>
    public static int Compute(string s, string t)
    {
    int n = s.Length;
    int m = t.Length;
    int[,] d = new int[n + 1, m + 1];
    // Step 1
    if (n == 0)
    {
        return m;
    }
    if (m == 0)
    {
        return n;
    }
    // Step 2
    for (int i = 0; i <= n; d[i, 0] = i++)
    {
    }
    for (int j = 0; j <= m; d[0, j] = j++)
    {
    }
    // Step 3
    for (int i = 1; i <= n; i++)
    {
        //Step 4
        for (int j = 1; j <= m; j++)
        {
        // Step 5
        int cost = (t[j - 1] == s[i - 1]) ? 0 : 1;
        // Step 6
        d[i, j] = Math.Min(
            Math.Min(d[i - 1, j] + 1, d[i, j - 1] + 1),
            d[i - 1, j - 1] + cost);
        }
    }
    // Step 7
    return d[n, m];
    }
}