Solving the Percentage Expression

The question asks us to find the value that replaces the question mark (?) in the given mathematical expression. The expression is:

450 × 30 + 1500 × 20 = ?% × 43500

To find the missing value, we need to follow these steps:

Step 1: Calculate the Left Side of the Expression

First, let's calculate the values on the left side of the equation:

• Multiply 450 by 30:

  $$450 \times 30 = 13500$$

• Multiply 1500 by 20:

  $$1500 \times 20 = 30000$$

• Add the results from the two multiplications:

  $$13500 + 30000 = 43500$$

So, the left side of the expression evaluates to 43500.

Step 2: Set Up the Equation with the Calculated Value

Now we can rewrite the expression with the calculated value:

43500 = ?% × 43500

Step 3: Solve for the Question Mark (?)

Let the value represented by the question mark be '$x$'. The expression becomes:

$$43500 = x\% \times 43500$$

To solve for '$x$', we first convert the percentage to a fraction:

$$x\% = \frac{x}{100}$$

Substitute this back into the equation:

$$43500 = \frac{x}{100} \times 43500$$

To isolate '$x$', we can divide both sides of the equation by 43500:

$$\frac{43500}{43500} = \frac{x}{100}$$

$$1 = \frac{x}{100}$$

Now, multiply both sides by 100 to find the value of '$x$':

$$1 \times 100 = x$$

$$100 = x$$

Therefore, the value that comes in place of the question mark is 100.

Conclusion

The calculation shows that 100% of 43500 is equal to the result of the initial calculation (450 × 30 + 1500 × 20).