Five plus $500\%$ of $10$ is the same as $110\%$ of what number?
To solve this problem, I need to figure out what percentage of what number gives me the same value as five plus $500\%$ of $10$. I can start by simplifying the expression five plus $500\%$ of $10$. I know that $500\%$ means $5$ times, so $500\%$ of $10$ is just $5 \times 10 = 50$. Therefore, five plus $500\%$ of $10$ is just $5 + 50 = 55$. Now I need to find a number that, when multiplied by $110\%$, gives me $55$. I can write this as an equation: $1.1x = 55$, where $x$ is the unknown number. To isolate $x$, I can divide both sides by $1.1$. This gives me $x = 55 \div 1.1 = 50$. So, the number is $50$. 