Finding the original amount given the result of... This year, a small business had a total revenue of \( \$ 6700 \). If this is \( 33 \% \) less than their total revenue the prev was their total revenue the previous year?

To find the original amount, we can set up the equation based on the information given. If this year's revenue is \( 33\% \) less, then it represents \( 67\% \) of last year's revenue. Let \( X \) be last year's revenue. The equation becomes \( 0.67X = 6700 \). Solving for \( X \), we get \( X = \frac{6700}{0.67} \approx 10,000 \). So, the previous year's revenue was approximately \( \$ 10,000 \)! Understanding revenue percentages can be quite useful in various situations, like budgeting or predicting profits. Many businesses rely on these figures not just for year-to-year comparisons, but also when planning for the future. Having a grasp on how much revenue has changed can help you strategize better investment decisions or potential cuts if needed. If you're ever faced with a similar percentage problem, a good tip is to always express the percentage as a decimal first. For example, \( 33\% \) as a decimal is \( 0.33 \), making calculations smoother. Remember to double-check your calculations, especially when it involves finding totals from reductions or increases, as it's easy to mix up the numbers and get lost in the percentages!