$$ 125 \% $$ of what number is $$ 45 ? $$

Question

UpStudy AI · Accepted Answer

To find out what number $$ x $$ satisfies the equation $$ 125\% $$ of $$ x $$ equals $$ 45 $$, we can set up the equation as follows:

$$
1.25x = 45
$$

Next, we solve for $$ x $$ by dividing both sides of the equation by $$ 1.25 $$:

$$
x = \frac{45}{1.25}
$$

Now, we can perform the division:

$$
x = 45 \div 1.25
$$

To simplify the division, we can multiply both the numerator and the denominator by $$ 100 $$ to eliminate the decimal:

$$
x = \frac{45 \times 100}{1.25 \times 100} = \frac{4500}{125}
$$

Now, we can perform the division:

$$
x = 36
$$

Thus, $$ 125\% $$ of $$ 36 $$ is $$ 45 $$. Therefore, the answer is:

$$
\boxed{36}
$$
$$ 125\% $$ of $$ 36 $$ is $$ 45 $$.

of what number is