is % of what?

Calculate

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90 is 120 percent of what?

Answer: 90 is 120 percent of 75. Alternatively, we can say that 75 is the number of which 90 is equivalent to 120%.

Solution for 90 is 120 percent of what:

$90=\mathrm{120\%}ofn$ $90=\frac{120}{100}\times n$ $90\times \frac{100}{120}=n$ $n=90\times \frac{100}{120}$ $n=\frac{90\times 100}{120}$ $n=\frac{9000}{120}$ $n=75$

Now we have that 90 is 120% of 75. Alternatively, we can express it as 75 is the number of which 90 is 120%.

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The step-by-step process for finding 90 is 120 percent of what:

The mathematical calculation of 90 is 120% of a number can be broken down as follows:

• 90 = 120% of n
• Convert this into an equation: 90 = (120/100) * n
• Rearrange the equation to solve for n: 90 * (100/120) = n
• Simplify the equation further: n = 90 * (100/120) => (90 * 100)/120
• Carry out the calculation: n = 9000 / 120
• The final answer is: n = 75

Thus, we conclude that 90 is 120 percent of 75.

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Explanation for 90 is 120 percent of what:

Step 1: Set up the equation

We start with the equation 90 is 120% of what number (n). This can be written as:

$90=\mathrm{120\%}ofn$

Think of percent as parts out of 100. So, when we say 120 percent, it's like having 120 parts out of a total of 100. What we want to do now is find out what the total would be if 90 was equivalent to 120 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. 120% becomes 120/100. This gives us:

$90=\frac{120}{100}\times n$

This is like saying 90 is 120 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 (100/120):

$n=90\times \frac{100}{120}$

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 90 (our 90 parts) by (100/120) (the reciprocal of our percentage in decimal form).

Step 4: Simplify the equation

This simplifies to:

$n=\frac{90\times 100}{120}$

Step 5: Perform the calculation

Performing the calculation gives us the final answer:

$n=\frac{9000}{120}$ $n=75$

Finally, after dividing 9000 by 120, we arrive at the answer: 75. Hence, we can definitively say that 90 is 120% of 75.

This guide aims to simplify the understanding of percentage calculations, focusing on the question 90 is 120 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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