How to split a row in a result into mutliple rows

I have the following query:

SELECT
       vs.MonthName AS Month, 
       vs.Region, 
       vs.Category, 
       CAST (MIN (a.TotalAmount) AS money) AS ActualAmount, 
       MIN (a.TotalCases) AS ActualCases, 
       CAST (MIN (ve.BudgetAmount) AS money) AS BudgetAmount,
      MIN (ve.BudgetCases) AS BudgetCases
FROM
    dbo.VarianceSetup AS vs
    LEFT OUTER JOIN dbo.Actuals 
       AS a ON vs.MonthNum=a.Month
                AND vs.RegionId=a.SalesRegionId
                AND vs.CategoryId=a.ProductCategoryId
                AND a.Year=2015
    LEFT OUTER JOIN dbo.VarianceReportEntries 
       AS ve ON a.Month=ve.Month
             AND a.SalesRegionId=ve.SalesRegionId
             AND a.ProductCategoryId=ve.ProductCategoryId
             AND ve.Year=2015
GROUP BY
        vs.MonthName, 
        vs.Region, 
        vs.Category;

which gives me the following output.

+---------+-------------+----------+--------------+-------------+-------------+--------------+
|  Month  |   Region    | Category | ActualAmount | ActualCases | BudgetCases | BudgetAmount |
+---------+-------------+----------+--------------+-------------+-------------+--------------+
| January | New England | Cola     | 439365.6000  | 31200       | 0           | 0.0000       |
| January | New England | Juice    | 110051.7600  | 8424        | 0           | 0.0000       |
| January | New England | Water    | 800.0000     | 40          | 0           | 0.0000       |
| January | NY / NJ     | Cola     | 552583.0800  | 40692       | 0           | 0.0000       |
| January | NY / NJ     | Juice    | 139824.3600  | 10764       | 0           | 0.0000       |
| January | NY / NJ     | Water    | NULL         | NULL        | NULL        | NULL         |
+---------+-------------+----------+--------------+-------------+-------------+--------------+

But for some code I am working on, I need each row to be split into four rows and add a string identifier to indicate the type of row, like this:

+---------+-------------+----------+--------------+-------------+
|  Month  |   Region    | Category |     Type     |    Value    |
+---------+-------------+----------+--------------+-------------+
| January | New England | Cola     | ActualAmount | 439365.6000 |
| January | New England | Cola     | ActualCases  | 31200       |
| January | New England | Cola     | BudgetAmount | 0.0000      |
| January | New England | Cola     | BudgetCases  | 0           |
| January | New England | Juice    | ActualAmount | 110051.7600 |
| January | New England | Juice    | ActualCases  | 8424        |
| January | New England | Juice    | BudgetAmount | 0.0000      |
| January | New England | Juice    | BudgetCases  | 0           |
+---------+-------------+----------+--------------+-------------+

How can I accomplish that by tweaking my query -- OR by creating a query based on the View of this query?