Step by step solution because that calculating 48 is 75 percent that what number

We already have our first value 48 and also the second value 75. Let"s assume the unknown worth is Y i beg your pardon answer us will discover out.

You are watching: 48 is 75 of what number

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

STEP 1 48 = 75% × Y

STEP 2 48 = 75/100× Y

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

STEP 3 Y = 48 × 100/75

STEP 4 Y = 48 × 100 ÷ 75

STEP 5 Y = 64

Finally, we have discovered the value of Y which is 64 and also that is our answer.

You can conveniently calculate 48 is 75 percent that what number through using any type of regular calculator, simply enter 48 × 100 ÷ 75 and you will acquire your answer i m sorry is 64

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Sample questions, answers, and how to

Question: your friend has actually a bag of marbles, and he tells you the 75 percent the the marbles space red. If there are 48 red marbles. How countless marbles walk he have altogether?

Answer: 64 marbles.

How To: In this problem, we recognize that the Percent is 75, and also we are additionally told that the component of the marbles is red, so we understand that the component is 48.

So, that means that it need to be the full that"s missing. Here is the method to figure out what the total is:

Part/Total = Percent/100

By using a an easy algebra we have the right to re-arrange ours Percent equation favor this:

Part × 100/Percent = Total

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

Let"s try it the end on our problem around the marbles, that"s very simple and it"s simply two steps! We understand that the "Part" (red marbles) is 48.

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

48 × 100 = 4800

In action two, us take that 4800 and divide that by the "Percent", i beg your pardon we are told is 75.

So, 4800 divided by 75 = 64

And that method that the total number of marbles is 64.

Question: A high school marching band has 48 flute players, If 75 percent the the band members pat the flute, climate how countless members space in the band?

Answer: There room 64 members in the band.

How To: The smaller sized "Part" in this trouble is 48 because there room 48 flute players and we are told that they comprise 75 percent the the band, for this reason the "Percent" is 75.

Again, it"s the "Total" that"s missing here, and also to discover it, we just need to monitor our 2 step procedure together the vault problem.

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

48 × 100 = 4800

For step two, we division that 4800 by the "Percent", i beg your pardon is 75.

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4800 split by 75 equates to 64

That way that the total variety of band members is 64.

Have time and also want to learn the calculation?

Let"s i think the unknown value is Y

First writing it as: 100% / Y = 75% / 48

Drop the portion marks to simplify your calculations: 100 / Y = 75 / 48

Multiply both sides by Y to relocate Y on the right side of the equation: 100 = ( 75 / 48 ) Y