is % of what?

Calculate

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213.75 is 13 percent of what?

Answer: 213.75 is 13 percent of 1644.231. Alternatively, we can say that 1644.231 is the number of which 213.75 is equivalent to 13%.

Solution for 213.75 is 13 percent of what:

$213.75=\mathrm{13\%}ofn$ $213.75=\frac{13}{100}\times n$ $213.75\times \frac{100}{13}=n$ $n=213.75\times \frac{100}{13}$ $n=\frac{213.75\times 100}{13}$ $n=\frac{21375}{13}$ $n=1644.231$

Now we have that 213.75 is 13% of 1644.231. Alternatively, we can express it as 1644.231 is the number of which 213.75 is 13%.

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The step-by-step process for finding 213.75 is 13 percent of what:

The mathematical calculation of 213.75 is 13% of a number can be broken down as follows:

• 213.75 = 13% of n
• Convert this into an equation: 213.75 = (13/100) * n
• Rearrange the equation to solve for n: 213.75 * (100/13) = n
• Simplify the equation further: n = 213.75 * (100/13) => (213.75 * 100)/13
• Carry out the calculation: n = 21375 / 13
• The final answer is: n = 1644.231

Thus, we conclude that 213.75 is 13 percent of 1644.231.

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Explanation for 213.75 is 13 percent of what:

Step 1: Set up the equation

We start with the equation 213.75 is 13% of what number (n). This can be written as:

$213.75=\mathrm{13\%}ofn$

Think of percent as parts out of 100. So, when we say 13 percent, it's like having 13 parts out of a total of 100. What we want to do now is find out what the total would be if 213.75 was equivalent to 13 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. 13% becomes 13/100. This gives us:

$213.75=\frac{13}{100}\times n$

This is like saying 213.75 is 13 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 (100/13):

$n=213.75\times \frac{100}{13}$

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 213.75 (our 213.75 parts) by (100/13) (the reciprocal of our percentage in decimal form).

Step 4: Simplify the equation

This simplifies to:

$n=\frac{213.75\times 100}{13}$

Step 5: Perform the calculation

Performing the calculation gives us the final answer:

$n=\frac{21375}{13}$ $n=1644.231$

Finally, after dividing 21375 by 13, we arrive at the answer: 1644.231. Hence, we can definitively say that 213.75 is 13% of 1644.231.

This guide aims to simplify the understanding of percentage calculations, focusing on the question 213.75 is 13 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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