Step by step solution for calculating 56 is 40 percent the what number

We already have our very first value 56 and also the second value 40. Let"s assume the unknown value is Y which answer we will discover out.

You are watching: 56 is 140 of what number

As we have all the required values us need, now we have the right to put lock in a simple mathematical formula as below:

STEP 156 = 40% × Y

STEP 256 = 40/100× Y

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

STEP 3Y = 56 × 100/40

STEP 4Y = 56 × 100 ÷ 40

STEP 5Y = 140

Finally, us have found the value of Y which is 140 and also that is ours answer.

You can conveniently calculate 56 is 40 percent that what number through using any kind of regular calculator, simply go into 56 × 100 ÷ 40 and also you will obtain your answer which is 140

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Sample questions, answers, and also how to

Question: her friend has actually a bag that marbles, and also he speak you that 40 percent of the marbles room red. If there room 56 red marbles. How many marbles walk he have altogether?

Answer: 140 marbles.

How To: In this problem, we understand that the Percent is 40, and we are additionally told the the component of the marbles is red, so we know that the part is 56.

So, that means that it need to be the complete that"s missing. Below is the method to figure out what the full is:

Part/Total = Percent/100

By utilizing a an easy algebra we deserve to re-arrange ours Percent equation prefer this:

Part × 100/Percent = Total

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

Let"s shot it out on our problem around the marbles, that"s very simple and it"s just two steps! We recognize that the "Part" (red marbles) is 56.

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

56 × 100 = 5600

In step two, we take the 5600 and also divide that by the "Percent", i beg your pardon we are told is 40.

So, 5600 split by 40 = 140

And that method that the total number of marbles is 140.

Question: A high institution marching band has 56 flute players, If 40 percent the the band members beat the flute, then how countless members room in the band?

Answer: There space 140 members in the band.

How To: The smaller "Part" in this trouble is 56 because there space 56 flute players and we are told that they make up 40 percent that the band, so the "Percent" is 40.

Again, it"s the "Total" that"s lacking here, and also to discover it, we just need to follow our 2 action procedure together the previous problem.

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

56 × 100 = 5600

For step two, we divide that 5600 by the "Percent", i m sorry is 40.

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5600 divided by 40 amounts to 140

That way that the total variety of band members is 140.

Another action by step method

Let"s assume the unknown worth is Y

First creating it as: 100% / Y = 40% / 56

Drop the portion marks to leveling your calculations: 100 / Y = 40 / 56

Multiply both political parties by Y to relocate Y top top the best side of the equation: 100 = ( 40 / 56 ) Y