When 8% of a number is added to the number itself the result is 810. What is the number?

1. Break Down the Problem

Let's denote the unknown number as $x$. According to the problem, when 8% of $x$ is added to $x$, the result is 810. We can express this mathematically as follows:

$x + 0.08x = 810$

2. Relevant Concepts

We'll combine like terms in the equation:

$1x + 0.08x = 1.08x$

Thus, we can rewrite the equation as:

$1.08x = 810$

3. Analysis and Detail

To find $x$, we need to isolate $x$ by dividing both sides of the equation by 1.08:

$x = \frac{810}{1.08}$

Calculating this gives:

$x = 750$

4. Verify and Summarize

To verify, we can calculate 8% of 750 and add it to the original number:

$0.08 \times 750 = 60$ $750 + 60 = 810$

Since the calculation checks out, we can summarize that the number is indeed $750$.

Final Answer

The number is $750$.