Step by action solution because that calculating 72 is 75 percent that what number

We already have our first value 72 and the 2nd value 75. Let"s assume the unknown worth is Y i m sorry answer us will uncover out.

You are watching: 75% of what number is 96

As we have all the forced values us need, currently we deserve to put lock in a basic mathematical formula as below:

STEP 172 = 75% × Y

STEP 272 = 75/100× Y

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

STEP 3Y = 72 × 100/75

STEP 4Y = 72 × 100 ÷ 75

STEP 5Y = 96

Finally, we have discovered the worth of Y which is 96 and also that is ours answer.

You can easily calculate 72 is 75 percent of what number by using any type of regular calculator, simply get in 72 × 100 ÷ 75 and also you will get your answer which is 96


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Sample questions, answers, and also how to

Question: your friend has actually a bag that marbles, and he tells you the 75 percent of the marbles room red. If there space 72 red marbles. How numerous marbles does he have actually altogether?

Answer: 96 marbles.

How To: In this problem, we recognize that the Percent is 75, and we are likewise told the the component of the marbles is red, therefore we recognize that the part is 72.

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

Part/Total = Percent/100

By using a an easy algebra we deserve to re-arrange our Percent equation favor this:

Part × 100/Percent = Total

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

Let"s shot it the end on our problem about the marbles, that"s very simple and it"s just two steps! We know that the "Part" (red marbles) is 72.

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

72 × 100 = 7200

In step two, us take the 7200 and divide it by the "Percent", which we space told is 75.

So, 7200 separated by 75 = 96

And that means that the total variety of marbles is 96.

Question: A high school marching band has actually 72 flute players, If 75 percent of the band members beat the flute, climate how numerous members space in the band?

Answer: There room 96 members in the band.

How To: The smaller sized "Part" in this difficulty is 72 since there space 72 flute players and we space told that they consist of 75 percent of the band, so the "Percent" is 75.

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

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

72 × 100 = 7200

For step two, we divide that 7200 through the "Percent", i beg your pardon is 75.

See more: P0404 Code Chrysler Town And Country, Despite Check

7200 separated by 75 equates to 96

That method that the total number of band members is 96.

Another step by step method

Step 1: Let"s assume the unknown worth is Y

Step 2: first writing the as: 100% / Y = 75% / 72

Step 3: fall the percent marks to leveling your calculations: 100 / Y = 75 / 72

Step 4: multiply both political parties by Y to move Y on the best side that the equation: 100 = ( 75 / 72 ) Y

Step 5: simplifying the right side, us get: 100 = 75 Y

Step 6: separating both political parties of the equation by 75, we will arrive in ~ 96 = Y

This pipeline us with our final answer: 72 is 75 percent the 96


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