Step by step solution because that calculating 12 is 40 percent of what number

We currently have our very first value 12 and also the 2nd value 40. Let"s i think the unknown worth is Y which answer us will find out.

You are watching: 12 is 40 of what number

As we have actually all the required values us need, currently we deserve to put them in a simple mathematical formula together below:

STEP 112 = 40% × Y

STEP 212 = 40/100× Y

Multiplying both political parties by 100 and also dividing both sides of the equation by 40 we will certainly arrive at:

STEP 3Y = 12 × 100/40

STEP 4Y = 12 × 100 ÷ 40

STEP 5Y = 30

Finally, we have discovered the worth of Y i beg your pardon is 30 and that is ours answer.

You can conveniently calculate 12 is 40 percent that what number by using any kind of regular calculator, simply get in 12 × 100 ÷ 40 and you will obtain your answer i m sorry is 30


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Sample questions, answers, and how to

Question: your friend has actually a bag the marbles, and he speak you that 40 percent the the marbles room red. If there are 12 red marbles. How countless marbles does he have actually altogether?

Answer: 30 marbles.

How To: In this problem, we recognize that the Percent is 40, and we are additionally told that the component of the marbles is red, so we recognize that the component is 12.

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

Part/Total = Percent/100

By making use of a basic algebra we deserve to re-arrange our Percent equation prefer this:

Part × 100/Percent = Total

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

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

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

12 × 100 = 1200

In action two, us take the 1200 and also divide that by the "Percent", which we room told is 40.

So, 1200 split by 40 = 30

And that means that the total number of marbles is 30.

Question: A high institution marching band has 12 flute players, If 40 percent the the band members pat the flute, then how numerous members room in the band?

Answer: There space 30 members in the band.

How To: The smaller sized "Part" in this difficulty is 12 since there space 12 flute players and also we space told the they make up 40 percent of the band, for this reason the "Percent" is 40.

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

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

12 × 100 = 1200

For action two, we division that 1200 through the "Percent", which is 40.

See more: What Happens To Energy In An Open System (Systems Theory), Open And Closed Systems

1200 split by 40 equates to 30

That method that the total number of band members is 30.

Another step by action method

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

Step 2: very first writing it as: 100% / Y = 40% / 12

Step 3: fall the portion marks to simplify your calculations: 100 / Y = 40 / 12

Step 4: multiply both political parties by Y to move Y top top the appropriate side that the equation: 100 = ( 40 / 12 ) Y

Step 5: simple the appropriate side, us get: 100 = 40 Y

Step 6: dividing both sides of the equation through 40, we will arrive in ~ 30 = Y

This pipeline us v our last answer: 12 is 40 percent that 30


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