If you want to gain more respect with your calculations admit when they don’t add up in the 1st place. It appears that many an individual in authority no matter what their label has a problem with admitting their own “Homer” moment (sorry Homer you just have a great image for this moment). When one admits a mistake right from the beginning it doesn’t show that they are stupid just human and allows the flexibility to proof they were right in the long run instead. In other words being wrong actually can proof you were right to more people then claiming you were right all along