### Instruction: Five plus $500\%$ of $10$ is the same as $110\%$ of what number?### Response: 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 $50$.