Converting enum values to int when using NewtonSoft.Json

I have an enum:

public enum IdleDelayBreakMode
{
    Repeat,
    ShowNext
}

I'm using NewtonSoft.Json to convert to json objects containing properties of that enum's type. What's the best solution to serialize values of that enum to arbitrary integers? Ideally i would like to do something like on the snippet below and i want to know if maybe there's a built-in solution for that:

public enum IdleDelayBreakMode
{
    [JsonValue(100)]
    Repeat,             // When serializing will be converted to 100

    [JsonValue(200)]
    ShowNext            // When serializing will be converted to 200  
}