How to match typeof(

I'm using reflection to determine how to format properties on an object.

Here's a dictionary of formatters:

var formatters = new Dictionary<Type, Func<object, object>>()
{
    { typeof(Enum), x => ((Enum)x)?.FormatEnum() },
    { typeof(DateTime?), x => ((DateTime?)x)?.ToShortDateString() },
    { typeof(string), x => x.ToString().ToLower() }
};

Most types will work fine, however when I get the type of my nullable enum TaskStatus, the type is not "Enum", it's the name of the type.

I noticed the base type is "Enum", however I don't want to have to check the base type since most other types will work just fine with the type.

For example, checking the type of string works fine:

typeof(string).FullName = "System.String"

But for the TaskStatus enum:

typeof(Enums.TaskStatus).FullName = "Enums.TaskStatus"

So typeof(Enum) != typeof(Enums.TaskStatus) which is what is preventing the dictionary from finding a match.

Is there any way to find a match in the formatters dictionary without having to put in all the different nullable enum type names I am using?

Edit:

Here's my entire code:

public class NoteHistory
{
    [JsonProperty("Status")]
    public TaskStatus? TaskStatus { get; set; }
    [JsonProperty("CreatedDate")]
    public DateTime? CreatedDate { get; set; }
    [JsonProperty("Description")]
    public string Description { get; set; }
    public bool IsDeleted { get; set; } // not interested in comparing this
}

public enum TaskStatus
{
    ToDo,
    Done
}

public static void DisplayValues()
{
    var noteHistory1 = new NoteHistory
    {
        TaskStatus = TaskStatus.ToDo
    };

    var noteHistory2 = new NoteHistory
    {
        TaskStatus = TaskStatus.Done
    };

    // Get all properties with JsonProperty attr.
    var propertiesToCompare = typeof(NoteHistory)
        .GetProperties()
        .Where(x => x.CustomAttributes
            .Any(y => y.AttributeType.Name == nameof(JsonPropertyAttribute)));

    var comparers = new Dictionary<Type, Func<object, object, bool>>
    {
        { typeof(string), (x, y) => !string.Equals(x?.ToString(), y?.ToString(), StringComparison.InvariantCultureIgnoreCase) }
    };

    var formatters = new Dictionary<Type, Func<object, object>>()
    {
        { typeof(Enum), x => ((Enum)x)?.FormatEnum() }, // doesn't work
        { typeof(DateTime?), x => ((DateTime?)x)?.ToShortDateString() },
        { typeof(string), x => x.ToString().ToLower() },
    };

    foreach (var propertyToCompare in propertiesToCompare)
    {
        var prop1Value = propertyToCompare.GetValue(noteHistory1);
        var prop2Value = propertyToCompare.GetValue(noteHistory2);

        Func<object, object, bool> comparer;
        comparers.TryGetValue(propertyToCompare.PropertyType, out comparer);

        var hasChanged = comparer?.Invoke(prop1Value, prop2Value) ?? prop1Value != prop2Value;

        if (hasChanged)
        {
            Func<object, object> formatter;
            formatters.TryGetValue(propertyToCompare.PropertyType, out formatter);

            var formattedValue = formatter?.Invoke(noteHistory2);
            // TODO: display the value
        }
    }
}