Step by step solution for calculating 12 is 75 percent the what number

We currently have our first value 12 and also the 2nd value 75. Let"s assume the unknown value is Y which answer us will find out.

You are watching: 75 is 12 of what number

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

STEP 112 = 75% × Y

STEP 212 = 75/100× Y

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

STEP 3Y = 12 × 100/75

STEP 4Y = 12 × 100 ÷ 75

STEP 5Y = 16

Finally, us have uncovered the value of Y i beg your pardon is 16 and that is our answer.

You can easily calculate 12 is 75 percent that what number through using any regular calculator, simply get in 12 × 100 ÷ 75 and also you will gain your answer i beg your pardon is 16


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Sample questions, answers, and how to

Question: her friend has a bag of marbles, and also he tells you that 75 percent that the marbles room red. If there are 12 red marbles. How plenty of marbles does he have altogether?

Answer: 16 marbles.

How To: In this problem, we recognize that the Percent is 75, and also we are additionally told the the component of the marbles is red, for this reason we recognize that the part is 12.

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

Part/Total = Percent/100

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

Part × 100/Percent = Total

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

Let"s try it out on our problem about the marbles, that"s very straightforward and it"s just two steps! We recognize that the "Part" (red marbles) is 12.

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

12 × 100 = 1200

In step two, we take that 1200 and divide it by the "Percent", i m sorry we space told is 75.

So, 1200 divided by 75 = 16

And that method that the total number of marbles is 16.

Question: A high school marching band has 12 flute players, If 75 percent that the band members pat the flute, climate how numerous members are in the band?

Answer: There space 16 members in the band.

How To: The smaller "Part" in this difficulty is 12 because there room 12 flute players and we space told that they comprise 75 percent that the band, so the "Percent" is 75.

Again, it"s the "Total" that"s missing here, and to discover it, we simply need to follow our 2 step procedure as the ahead problem.

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

12 × 100 = 1200

For step two, we division that 1200 by the "Percent", which is 75.

See more: What Can You Use Rubbing Alcohol Instead Of Acrylic Liquid ?

1200 divided by 75 equates to 16

That means that the total variety of band members is 16.

Another action by step method

Step 1: Let"s i think the unknown value is Y

Step 2: very first writing the as: 100% / Y = 75% / 12

Step 3: fall the percent marks to simplify your calculations: 100 / Y = 75 / 12

Step 4: multiply both sides by Y to move Y top top the ideal side the the equation: 100 = ( 75 / 12 ) Y

Step 5: simple the right side, we get: 100 = 75 Y

Step 6: dividing both political parties of the equation by 75, we will certainly arrive at 16 = Y

This leaves us with our final answer: 12 is 75 percent that 16


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