Step by action solution for calculating 112 is 56 percent that what number

We already have our an initial value 112 and also the second value 56. Let"s i think the unknown worth is Y i beg your pardon answer us will discover out.

You are watching: 112 is 56 of what number

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

STEP 1112 = 56% × Y

STEP 2112 = 56/100× Y

Multiplying both sides by 100 and also dividing both political parties of the equation by 56 we will arrive at:

STEP 3Y = 112 × 100/56

STEP 4Y = 112 × 100 ÷ 56

STEP 5Y = 200

Finally, we have uncovered the value of Y i beg your pardon is 200 and that is ours answer.

You can easily calculate 112 is 56 percent that what number by using any regular calculator, simply go into 112 × 100 ÷ 56 and also you will obtain your answer which is 200


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Sample questions, answers, and how to

Question: her friend has actually a bag of marbles, and also he tells you that 56 percent the the marbles are red. If there room 112 red marbles. How plenty of marbles walk he have altogether?

Answer: 200 marbles.

How To: In this problem, we understand that the Percent is 56, and we are additionally told that the component of the marbles is red, for this reason we know that the part is 112.

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

Part/Total = Percent/100

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

Part × 100/Percent = Total

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

Let"s shot it the end on our problem about the marbles, that"s very basic and it"s just two steps! We understand that the "Part" (red marbles) is 112.

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

112 × 100 = 11200

In action two, we take the 11200 and also divide it by the "Percent", which we are told is 56.

So, 11200 divided by 56 = 200

And that means that the total variety of marbles is 200.

Question: A high school marching band has 112 flute players, If 56 percent of the band members beat the flute, climate how numerous members room in the band?

Answer: There space 200 members in the band.

How To: The smaller sized "Part" in this trouble is 112 since there are 112 flute players and also we are told that they comprise 56 percent the the band, therefore the "Percent" is 56.

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

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

112 × 100 = 11200

For action two, we divide that 11200 by the "Percent", which is 56.

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11200 split by 56 amounts to 200

That way that the total number of band members is 200.

Another step by step method

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

Step 2: an initial writing the as: 100% / Y = 56% / 112

Step 3: fall the percentage marks to simplify your calculations: 100 / Y = 56 / 112

Step 4: main point both sides by Y to relocate Y on the best side of the equation: 100 = ( 56 / 112 ) Y

Step 5: simplifying the appropriate side, us get: 100 = 56 Y

Step 6: dividing both political parties of the equation through 56, we will certainly arrive in ~ 200 = Y

This pipeline us with our final answer: 112 is 56 percent of 200


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