Step by step solution because that calculating 21 is 75 percent of what number

We currently have our very first value 21 and also the 2nd value 75. Let"s assume the unknown worth is Y i m sorry answer us will uncover out.

You are watching: 21 is 75 percent of what number

As we have all the required values we need, currently we can put lock in a an easy mathematical formula as below:

STEP 121 = 75% × Y

STEP 221 = 75/100× Y

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

STEP 3Y = 21 × 100/75

STEP 4Y = 21 × 100 ÷ 75

STEP 5Y = 28

Finally, us have found the value of Y i beg your pardon is 28 and also that is our answer.

You can quickly calculate 21 is 75 percent of what number by using any regular calculator, simply enter 21 × 100 ÷ 75 and you will get your answer i beg your pardon is 28

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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 that the marbles space red. If there space 21 red marbles. How plenty of marbles does he have actually altogether?

Answer: 28 marbles.

How To: In this problem, we know that the Percent is 75, and we are also told that the component of the marbles is red, for this reason we recognize that the part is 21.

So, that means that it need to be the full that"s missing. Below is the means to figure out what the complete is:

Part/Total = Percent/100

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

Part × 100/Percent = Total

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

Let"s try it out on our problem about the marbles, that"s very an easy and it"s simply two steps! We understand that the "Part" (red marbles) is 21.

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

21 × 100 = 2100

In step two, we take that 2100 and also divide that by the "Percent", i beg your pardon we room told is 75.

So, 2100 split by 75 = 28

And that means that the total number of marbles is 28.

Question: A high school marching band has actually 21 flute players, If 75 percent of the tape members beat the flute, climate how countless members room in the band?

Answer: There room 28 members in the band.

How To: The smaller sized "Part" in this difficulty is 21 since there are 21 flute players and also we room told the they consist of 75 percent of the band, so the "Percent" is 75.

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

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

21 × 100 = 2100

For step two, we division that 2100 by the "Percent", i m sorry is 75.

See more: How Many Bricks In A Square Foot ? Brick Calculator

2100 divided by 75 equates to 28

That means that the total number of band members is 28.

Another step by step method

Let"s i think the unknown value is Y

First writing it as: 100% / Y = 75% / 21

Drop the portion marks to simplify your calculations: 100 / Y = 75 / 21

Multiply both political parties by Y to relocate Y top top the appropriate side that the equation: 100 = ( 75 / 21 ) Y

Simplifying the best side, we get: 100 = 75 Y

Dividing both sides of the equation by 75, we will certainly arrive at 28 = Y

This leaves us through our last answer: 21 is 75 percent of 28


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