conversations.from: human
conversations.value: Can you break down the solution for me for this math problem: Bill has played 200 games of poker and won 63% of them. If he plays 100 more games and loses 43 of them, what is his new win percentage?
conversations.from: assistant
conversations.value: First find the total number of games Bill has won: 200 games * 63% = 126 games
  Then find how many of the next 100 games he wins by subtracting the number he loses from the total: 100 games - 43 games = 57 games
  Then add his new wins to his old wins to find his total wins: 57 games + 126 games = 183 games
  Then add the old total number of games to the new total number of games to find the overall total number of games: 200 games + 100 games = 300 games
  Then divide the total number of games Bill won by the overall total number of games and multiply by 100% to find the percentage of games he won: 183 games / 300 games * 100% = 61%