Step by step solution because that calculating 24 is 75 percent that what number

We currently have our very first value 24 and also the 2nd value 75. Let\"s i think the unknown worth is Y i beg your pardon answer we will find out.

You are watching: 24 is 75 of what number

As we have actually all the forced values we need, now we can put lock in a straightforward mathematical formula together below:

STEP 1 24 = 75% × Y

STEP 2 24 = 75/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 75 we will certainly arrive at:

STEP 3 Y = 24 × 100/75

STEP 4 Y = 24 × 100 ÷ 75

STEP 5 Y = 32

Finally, us have found the value of Y i beg your pardon is 32 and that is ours answer.

You can conveniently calculate 24 is 75 percent of what number by using any regular calculator, simply get in 24 × 100 ÷ 75 and you will acquire your answer which is 32

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Sample questions, answers, and also how to

Question: her friend has actually a bag that marbles, and also he tells you that 75 percent the the marbles room red. If there are 24 red marbles. How countless marbles walk he have altogether?

Answer: 32 marbles.

How To: In this problem, we understand that the Percent is 75, and also we are also told that the part of the marbles is red, therefore we recognize that the part is 24.

So, that way that it must be the total that\"s missing. Here is the means to figure out what the complete is:

Part/Total = Percent/100

By making use of a simple algebra we can re-arrange our Percent equation like this:

Part × 100/Percent = Total

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

Let\"s try it out on ours problem around the marbles, that\"s very straightforward and it\"s simply two steps! We understand that the \"Part\" (red marbles) is 24.

So action one is to just multiply that part by 100.

24 × 100 = 2400

In action two, we take that 2400 and divide it by the \"Percent\", which we space told is 75.

So, 2400 split by 75 = 32

And that way that the total number of marbles is 32.

Question: A high school marching band has 24 flute players, If 75 percent that the band members pat the flute, then how plenty of members space in the band?

Answer: There space 32 members in the band.

How To: The smaller \"Part\" in this problem is 24 due to the fact that there space 24 flute players and also we room told the they consist of 75 percent that the band, therefore the \"Percent\" is 75.

Again, it\"s the \"Total\" that\"s lacking here, and to uncover it, we simply need to monitor our 2 step procedure as the previous problem.

For action one, us multiply the \"Part\" through 100.

24 × 100 = 2400

For step two, we divide that 2400 by the \"Percent\", i beg your pardon is 75.

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2400 divided by 75 equals 32

That way that the total variety of band members is 32.

Have time and want to learn the calculation?

Let\"s assume the unknown value is Y

First creating it as: 100% / Y = 75% / 24

Drop the percentage marks to leveling your calculations: 100 / Y = 75 / 24

Multiply both sides by Y to move Y top top the best side of the equation: 100 = ( 75 / 24 ) Y