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I'm having trouble explaining this concept

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Could you try rewording this a little bit? Are you saying the total budget is $1,000, and 10% of that can be commission? I'm not really clear what you're asking or attempting to illustrate here.
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It depends on the situation. I work in insurance, and a commission (paid to the agent) is typically calculated as a % of the total price paid by the purchaser. So, if the policy premium is $1,000 then the commission would indeed be $100. The price net of commission would be 1000(1-10%) = 900.
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Total budget (including commission) equals $1000. Known commission rate is 10%. We are solving for the net before commission, is this correct?

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