# Question: 75 is 24 percent of what number?

## Step by step solution for calculating 75 is 24 percent of what number

We already have our first value 75 and the second value 24. Let's assume the unknown value is Y which answer we will find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

STEP 1 75 = 24% × Y

STEP 2 75 = 24/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 24 we will arrive at:

STEP 3 Y = 75 × 100/24

STEP 4 Y = 75 × 100 ÷ 24

STEP 5 Y = 312.5

Finally, we have found the value of Y which is 312.5 and that is our answer. You can easily calculate 75 is 24 percent of what number by using any regular calculator, simply enter 75 × 100 ÷ 24 and you will get your answer which is 312.5 Here is a Percentage Calculator to solve similar calculations such as 75 is 24 percent of what number. You can solve this type of calculation with your values by entering them into the calculator's fields, and click 'Calculate' to get the result and explanation.

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## Sample questions, answers, and how to

Question: Your friend has a bag of marbles, and he tells you that 24 percent of the marbles are red. If there are 75 red marbles. How many marbles does he have altogether?

How To: In this problem, we know that the Percent is 24, and we are also told that the Part of the marbles is red, so we know that the Part is 75.

So, that means that it must be the Total that's missing. Here is the way to figure out what the Total is:

Part/Total = Percent/100

By using a simple algebra we can re-arrange our Percent equation like this:

Part × 100/Percent = Total

If we take the "Part" and multiply it by 100, and then we divide that by the "Percent", we will get the "Total".

Let's try it out on our problem about the marbles, that's very simple and it's just two steps! We know that the "Part" (red marbles) is 75.

So step one is to just multiply that Part by 100.

75 × 100 = 7500

In step two, we take that 7500 and divide it by the "Percent", which we are told is 24.

So, 7500 divided by 24 = 312.5

And that means that the total number of marbles is 312.5.

Question: A high school marching band has 75 flute players, If 24 percent of the band members play the flute, then how many members are in the band?

Answer: There are 312.5 members in the band.

How To: The smaller "Part" in this problem is 75 since there are 75 flute players and we are told that they make up 24 percent of the band, so the "Percent" is 24.

Again, it's the "Total" that's missing here, and to find it, we just need to follow our 2 step procedure as the previous problem.

For step one, we multiply the "Part" by 100.

75 × 100 = 7500

For step two, we divide that 7500 by the "Percent", which is 24.

7500 divided by 24 equals 312.5

That means that the total number of band members is 312.5.

## Another step by step method

Step 1: Let's assume the unknown value is Y

Step 2: First writing it as: 100% / Y = 24% / 75

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 24 / 75

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 24 / 75 ) Y

Step 5: Simplifying the right side, we get: 100 = 24 Y

Step 6: Dividing both sides of the equation by 24, we will arrive at 312.5 = Y

This leaves us with our final answer: 75 is 24 percent of 312.5

## Percentage Table

 75 is 24 percent of 312.5 75.01 is 24 percent of 312.542 75.02 is 24 percent of 312.583 75.03 is 24 percent of 312.625 75.04 is 24 percent of 312.667 75.05 is 24 percent of 312.708 75.06 is 24 percent of 312.75 75.07 is 24 percent of 312.792 75.08 is 24 percent of 312.833 75.09 is 24 percent of 312.875 75.1 is 24 percent of 312.917 75.11 is 24 percent of 312.958 75.12 is 24 percent of 313 75.13 is 24 percent of 313.042 75.14 is 24 percent of 313.083 75.15 is 24 percent of 313.125 75.16 is 24 percent of 313.167 75.17 is 24 percent of 313.208 75.18 is 24 percent of 313.25 75.19 is 24 percent of 313.292
 75.2 is 24 percent of 313.333 75.21 is 24 percent of 313.375 75.22 is 24 percent of 313.417 75.23 is 24 percent of 313.458 75.24 is 24 percent of 313.5 75.25 is 24 percent of 313.542 75.26 is 24 percent of 313.583 75.27 is 24 percent of 313.625 75.28 is 24 percent of 313.667 75.29 is 24 percent of 313.708 75.3 is 24 percent of 313.75 75.31 is 24 percent of 313.792 75.32 is 24 percent of 313.833 75.33 is 24 percent of 313.875 75.34 is 24 percent of 313.917 75.35 is 24 percent of 313.958 75.36 is 24 percent of 314 75.37 is 24 percent of 314.042 75.38 is 24 percent of 314.083 75.39 is 24 percent of 314.125
 75.4 is 24 percent of 314.167 75.41 is 24 percent of 314.208 75.42 is 24 percent of 314.25 75.43 is 24 percent of 314.292 75.44 is 24 percent of 314.333 75.45 is 24 percent of 314.375 75.46 is 24 percent of 314.417 75.47 is 24 percent of 314.458 75.48 is 24 percent of 314.5 75.49 is 24 percent of 314.542 75.5 is 24 percent of 314.583 75.51 is 24 percent of 314.625 75.52 is 24 percent of 314.667 75.53 is 24 percent of 314.708 75.54 is 24 percent of 314.75 75.55 is 24 percent of 314.792 75.56 is 24 percent of 314.833 75.57 is 24 percent of 314.875 75.58 is 24 percent of 314.917 75.59 is 24 percent of 314.958
 75.6 is 24 percent of 315 75.61 is 24 percent of 315.042 75.62 is 24 percent of 315.083 75.63 is 24 percent of 315.125 75.64 is 24 percent of 315.167 75.65 is 24 percent of 315.208 75.66 is 24 percent of 315.25 75.67 is 24 percent of 315.292 75.68 is 24 percent of 315.333 75.69 is 24 percent of 315.375 75.7 is 24 percent of 315.417 75.71 is 24 percent of 315.458 75.72 is 24 percent of 315.5 75.73 is 24 percent of 315.542 75.74 is 24 percent of 315.583 75.75 is 24 percent of 315.625 75.76 is 24 percent of 315.667 75.77 is 24 percent of 315.708 75.78 is 24 percent of 315.75 75.79 is 24 percent of 315.792
 75.8 is 24 percent of 315.833 75.81 is 24 percent of 315.875 75.82 is 24 percent of 315.917 75.83 is 24 percent of 315.958 75.84 is 24 percent of 316 75.85 is 24 percent of 316.042 75.86 is 24 percent of 316.083 75.87 is 24 percent of 316.125 75.88 is 24 percent of 316.167 75.89 is 24 percent of 316.208 75.9 is 24 percent of 316.25 75.91 is 24 percent of 316.292 75.92 is 24 percent of 316.333 75.93 is 24 percent of 316.375 75.94 is 24 percent of 316.417 75.95 is 24 percent of 316.458 75.96 is 24 percent of 316.5 75.97 is 24 percent of 316.542 75.98 is 24 percent of 316.583 75.99 is 24 percent of 316.625