is % of what?

Calculate

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1500 is 21.2 percent of what?

Answer: 1500 is 21.2 percent of 7075.472. Alternatively, we can say that 7075.472 is the number of which 1500 is equivalent to 21.2%.

Solution for 1500 is 21.2 percent of what:

$1500=\mathrm{21.2\%}ofn$ $1500=\frac{21.2}{100}\times n$ $1500\times \frac{100}{21.2}=n$ $n=1500\times \frac{100}{21.2}$ $n=\frac{1500\times 100}{21.2}$ $n=\frac{150000}{21.2}$ $n=7075.472$

Now we have that 1500 is 21.2% of 7075.472. Alternatively, we can express it as 7075.472 is the number of which 1500 is 21.2%.

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The step-by-step process for finding 1500 is 21.2 percent of what:

The mathematical calculation of 1500 is 21.2% of a number can be broken down as follows:

• 1500 = 21.2% of n
• Convert this into an equation: 1500 = (21.2/100) * n
• Rearrange the equation to solve for n: 1500 * (100/21.2) = n
• Simplify the equation further: n = 1500 * (100/21.2) => (1500 * 100)/21.2
• Carry out the calculation: n = 150000 / 21.2
• The final answer is: n = 7075.472

Thus, we conclude that 1500 is 21.2 percent of 7075.472.

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Explanation for 1500 is 21.2 percent of what:

Step 1: Set up the equation

We start with the equation 1500 is 21.2% of what number (n). This can be written as:

$1500=\mathrm{21.2\%}ofn$

Think of percent as parts out of 100. So, when we say 21.2 percent, it's like having 21.2 parts out of a total of 100. What we want to do now is find out what the total would be if 1500 was equivalent to 21.2 parts instead of 100.

Step 2: Convert the percentage to a fraction and set up the equation

Next, we convert the percentage to a fraction and set up the equation. 21.2% becomes 21.2/100. This gives us:

$1500=\frac{21.2}{100}\times n$

This is like saying 1500 is 21.2 parts (out of 100) of a total (n). We want to find out what that total (n) is.

Step 3: Rearrange the equation to solve for n

To solve for n, we need to get n on one side of the equation by itself. We can do this by multiplying both sides of the equation by (100/21.2):

$n=1500\times \frac{100}{21.2}$

This is an alternative calculation. Instead of doing it in two steps like we did before, we can also do it in one step. First, we multiply 1500 (our 1500 parts) by (100/21.2) (the reciprocal of our percentage in decimal form).

Step 4: Simplify the equation

This simplifies to:

$n=\frac{1500\times 100}{21.2}$

Step 5: Perform the calculation

Performing the calculation gives us the final answer:

$n=\frac{150000}{21.2}$ $n=7075.472$

Finally, after dividing 150000 by 21.2, we arrive at the answer: 7075.472. Hence, we can definitively say that 1500 is 21.2% of 7075.472.

This guide aims to simplify the understanding of percentage calculations, focusing on the question 1500 is 21.2 percent of what. Keep practicing with different numbers to hone your skills in percentage calculations. We hope this helps you in your quest for better mathematical understanding.

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