is % of what?

Calculate

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85 is 85 percent of what?

Answer: 85 is 85 percent of 100. Alternatively, we can say that 100 is the number of which 85 is equivalent to 85%.

Solution for 85 is 85 percent of what:

$85=\mathrm{85\%}ofn$ $85=\frac{85}{100}\times n$ $85\times \frac{100}{85}=n$ $n=85\times \frac{100}{85}$ $n=\frac{85\times 100}{85}$ $n=\frac{8500}{85}$ $n=100$

Now we have that 85 is 85% of 100. Alternatively, we can express it as 100 is the number of which 85 is 85%.

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The step-by-step process for finding 85 is 85 percent of what:

The mathematical calculation of 85 is 85% of a number can be broken down as follows:

• 85 = 85% of n
• Convert this into an equation: 85 = (85/100) * n
• Rearrange the equation to solve for n: 85 * (100/85) = n
• Simplify the equation further: n = 85 * (100/85) => (85 * 100)/85
• Carry out the calculation: n = 8500 / 85
• The final answer is: n = 100

Thus, we conclude that 85 is 85 percent of 100.

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Explanation for 85 is 85 percent of what:

Step 1: Set up the equation

We start with the equation 85 is 85% of what number (n). This can be written as:

$85=\mathrm{85\%}ofn$

Think of percent as parts out of 100. So, when we say 85 percent, it's like having 85 parts out of a total of 100. What we want to do now is find out what the total would be if 85 was equivalent to 85 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. 85% becomes 85/100. This gives us:

$85=\frac{85}{100}\times n$

This is like saying 85 is 85 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 (100/85):

$n=85\times \frac{100}{85}$

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 85 (our 85 parts) by (100/85) (the reciprocal of our percentage in decimal form).

Step 4: Simplify the equation

This simplifies to:

$n=\frac{85\times 100}{85}$

Step 5: Perform the calculation

Performing the calculation gives us the final answer:

$n=\frac{8500}{85}$ $n=100$

Finally, after dividing 8500 by 85, we arrive at the answer: 100. Hence, we can definitively say that 85 is 85% of 100.

This guide aims to simplify the understanding of percentage calculations, focusing on the question 85 is 85 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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