Step by action solution for calculating 32 is 40 percent the what number

We already have our an initial value 32 and the second value 40. Let"s i think the unknown worth is Y i beg your pardon answer we will uncover out.

You are watching: 32 is what percent of 40

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

STEP 132 = 40% × Y

STEP 232 = 40/100× Y

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

STEP 3Y = 32 × 100/40

STEP 4Y = 32 × 100 ÷ 40

STEP 5Y = 80

Finally, we have discovered the value of Y i beg your pardon is 80 and that is our answer.

You can quickly calculate 32 is 40 percent that what number through using any regular calculator, simply enter 32 × 100 ÷ 40 and you will obtain your answer i m sorry is 80


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Sample questions, answers, and how to

Question: her friend has a bag the marbles, and he tells you that 40 percent the the marbles room red. If there space 32 red marbles. How many marbles go he have actually altogether?

Answer: 80 marbles.

How To: In this problem, we know that the Percent is 40, and also we are also told the the part of the marbles is red, so we recognize that the part is 32.

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

Part/Total = Percent/100

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

Part × 100/Percent = Total

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

Let"s shot it out on ours problem about the marbles, that"s very simple and it"s just two steps! We recognize that the "Part" (red marbles) is 32.

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

32 × 100 = 3200

In step two, we take the 3200 and divide it by the "Percent", i m sorry we are told is 40.

So, 3200 split by 40 = 80

And that method that the total variety of marbles is 80.

Question: A high institution marching band has actually 32 flute players, If 40 percent the the band members beat the flute, then how plenty of members room in the band?

Answer: There are 80 members in the band.

How To: The smaller sized "Part" in this trouble is 32 because there room 32 flute players and we room told the they make up 40 percent the the band, therefore the "Percent" is 40.

Again, it"s the "Total" that"s missing here, and also to uncover it, we just need to follow our 2 action procedure as the ahead problem.

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

32 × 100 = 3200

For step two, we divide that 3200 through the "Percent", i m sorry is 40.

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3200 divided by 40 amounts to 80

That way that the total number of band members is 80.

Another action by action method

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

Step 2: an initial writing the as: 100% / Y = 40% / 32

Step 3: fall the percent marks to leveling your calculations: 100 / Y = 40 / 32

Step 4: main point both sides by Y to relocate Y ~ above the right side the the equation: 100 = ( 40 / 32 ) Y

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

Step 6: separating both sides of the equation through 40, we will certainly arrive at 80 = Y

This pipeline us with our final answer: 32 is 40 percent of 80


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