Step by action solution for calculating 6 is 12 percent of what number

We currently have our very first value 6 and also the 2nd value 12. Let"s assume the unknown value is Y which answer us will find out.

You are watching: 12 is 6 percent of what number

As we have actually all the compelled values we need, currently we can put lock in a basic mathematical formula together below:

STEP 16 = 12% × Y

STEP 26 = 12/100× Y

Multiplying both political parties by 100 and dividing both political parties of the equation by 12 we will certainly arrive at:

STEP 3Y = 6 × 100/12

STEP 4Y = 6 × 100 ÷ 12

STEP 5Y = 50

Finally, us have uncovered the value of Y i beg your pardon is 50 and also that is our answer.

You can conveniently calculate 6 is 12 percent the what number by using any type of regular calculator, simply get in 6 × 100 ÷ 12 and you will acquire your answer i m sorry is 50


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Sample questions, answers, and also how to

Question: her friend has actually a bag of marbles, and he speak you the 12 percent that the marbles room red. If there are 6 red marbles. How numerous marbles does he have actually altogether?

Answer: 50 marbles.

How To: In this problem, we recognize that the Percent is 12, and also we are also told that the part of the marbles is red, so we know that the part is 6.

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

Part/Total = Percent/100

By utilizing a an easy algebra we can re-arrange our Percent equation prefer this:

Part × 100/Percent = Total

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

Let"s shot it the end on ours problem about the marbles, that"s very an easy and it"s simply two steps! We know that the "Part" (red marbles) is 6.

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

6 × 100 = 600

In action two, we take the 600 and also divide the by the "Percent", which we space told is 12.

So, 600 divided by 12 = 50

And that way that the total number of marbles is 50.

Question: A high college marching band has actually 6 flute players, If 12 percent of the band members beat the flute, climate how countless members room in the band?

Answer: There room 50 members in the band.

How To: The smaller "Part" in this difficulty is 6 because there are 6 flute players and also we space told that they make up 12 percent of the band, for this reason the "Percent" is 12.

Again, it"s the "Total" that"s absent here, and also to find it, we simply need to follow our 2 step procedure together the vault problem.

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

6 × 100 = 600

For action two, we divide that 600 by the "Percent", which is 12.

See more: Distance From Raton, New Mexico To Denver Colorado, Denver To Raton, Nm

600 divided by 12 equates to 50

That means that the total variety of band members is 50.

Another step by action method

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

Step 2: first writing that as: 100% / Y = 12% / 6

Step 3: fall the percentage marks to leveling your calculations: 100 / Y = 12 / 6

Step 4: main point both political parties by Y to move Y on the ideal side that the equation: 100 = ( 12 / 6 ) Y

Step 5: simple the best side, us get: 100 = 12 Y

Step 6: dividing both sides of the equation through 12, we will certainly arrive in ~ 50 = Y

This pipeline us v our last answer: 6 is 12 percent of 50


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