Step by step solution because that calculating 24 is 96 percent the what number

We already have our an initial value 24 and the 2nd value 96. Let"s i think the unknown value is Y i beg your pardon answer us will uncover out.

You are watching: 96 of what number is 24

As we have actually all the compelled values us need, now we have the right to put them in a basic mathematical formula together below:

STEP 1 24 = 96% × Y

STEP 2 24 = 96/100× Y

Multiplying both sides by 100 and also dividing both political parties of the equation by 96 we will certainly arrive at:

STEP 3 Y = 24 × 100/96

STEP 4 Y = 24 × 100 ÷ 96

STEP 5 Y = 25

Finally, we have found the worth of Y i m sorry is 25 and also that is our answer.

You can easily calculate 24 is 96 percent the what number by using any kind of regular calculator, simply enter 24 × 100 ÷ 96 and also you will get your answer i m sorry is 25

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Sample questions, answers, and how to

Question: your friend has a bag that marbles, and he tells you that 96 percent of the marbles room red. If there are 24 red marbles. How plenty of marbles go he have actually altogether?

Answer: 25 marbles.

How To: In this problem, we know that the Percent is 96, and also we are additionally told the the part of the marbles is red, therefore we know that the part is 24.

So, that way that it must be the full that"s missing. Right here is the method to number out what the full is:

Part/Total = Percent/100

By making use of a basic algebra we have the right to re-arrange our Percent equation prefer this:

Part × 100/Percent = Total

If we take the "Part" and multiply it by 100, and then we division that through the "Percent", us will gain the "Total".

Let"s try it out on our problem around the marbles, that"s very straightforward and it"s just two steps! We recognize that the "Part" (red marbles) is 24.

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

24 × 100 = 2400

In step two, us take the 2400 and divide it by the "Percent", i beg your pardon we room told is 96.

So, 2400 split by 96 = 25

And that way that the total number of marbles is 25.

Question: A high institution marching band has 24 flute players, If 96 percent of the tape members beat the flute, then how plenty of members are in the band?

Answer: There space 25 members in the band.

How To: The smaller sized "Part" in this problem is 24 because there room 24 flute players and also we are told the they make up 96 percent that the band, so the "Percent" is 96.

Again, it"s the "Total" that"s absent here, and also to uncover it, we simply need to follow our 2 action procedure as the ahead problem.

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

24 × 100 = 2400

For step two, we division that 2400 by the "Percent", which is 96.

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2400 separated by 96 equates to 25

That means that the total number of band members is 25.

Have time and also want to learn the calculation?

Let"s assume the unknown worth is Y

First creating it as: 100% / Y = 96% / 24

Drop the percentage marks to leveling your calculations: 100 / Y = 96 / 24

Multiply both political parties by Y to move Y on the best side the the equation: 100 = ( 96 / 24 ) Y