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

We currently have our very first value 112 and also the 2nd value 56. Let"s i think the unknown value is Y i m sorry answer we will uncover out.

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

STEP 1112 = 56% × Y

STEP 2112 = 56/100× Y

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

STEP 3Y = 112 × 100/56

STEP 4Y = 112 × 100 ÷ 56

STEP 5Y = 200

Finally, us have found the value of Y i m sorry is 200 and that is ours answer.

You can quickly calculate 112 is 56 percent the what number by using any kind of regular calculator, simply enter 112 × 100 ÷ 56 and also you will obtain your answer which is 200

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Sample questions, answers, and also how to

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

Answer: 200 marbles.

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

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

Part/Total = Percent/100

By using a straightforward algebra we can re-arrange our Percent equation favor this:

Part × 100/Percent = Total

If we 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 shot it the end on our problem around the marbles, that"s very an easy and it"s simply two steps! We understand that the "Part" (red marbles) is 112.

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

112 × 100 = 11200

In step two, us take that 11200 and also divide it by the "Percent", i m sorry we are told is 56.

So, 11200 split 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 the the band members play the flute, climate how plenty of members are in the band?

Answer: There space 200 members in the band.

How To: The smaller "Part" in this problem is 112 since there are 112 flute players and also we room told the they consist of 56 percent the the band, therefore the "Percent" is 56.

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

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

112 × 100 = 11200

For step two, we divide that 11200 by the "Percent", i beg your pardon is 56.

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11200 split by 56 amounts to 200

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

Another step by step method

Let"s assume the unknown worth is Y

First writing it as: 100% / Y = 56% / 112

Drop the portion marks to simplify your calculations: 100 / Y = 56 / 112

Multiply both political parties by Y to relocate Y top top the ideal side that the equation: 100 = ( 56 / 112 ) Y

Simplifying the best side, us get: 100 = 56 Y

Dividing both political parties of the equation by 56, we will arrive in ~ 200 = Y

This leaves us v our last answer: 112 is 56 percent that 200


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