Question: 75 is 24 percent of what number?

Answer: 312.5

If you want to learn more, then please keep reading, and you won't be disappointed.

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 175 = 24% × Y

STEP 275 = 24/100× Y

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

STEP 3Y = 75 × 100/24

STEP 4Y = 75 × 100 ÷ 24

STEP 5Y = 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?

Answer: 312.5 marbles.

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