Value added by sector of economic activity
The first line of your World Bank link gives you the explanation:


  Industry corresponds to ISIC divisions 10-45 and includes
  manufacturing (ISIC divisions 15-37)


Hence, if you add up industry and manufacturing you count some activities twice, the divisions 15-37 that is.

But even if you take this into account you should not find 100% if you are adding up the value added of all the activities. Gross domestic product (GDP) is not the sum of the gross value added (GVA) of all the activities but:


  GDP = GVA + Taxes on products - Subsidies on products


According to Statistics Explained


  Gross value added of the total economy usually accounts for more than
  90 % of GDP


So, the message is to check carefully the definitions and concepts used by the World Bank.