Step by step solution for calculating 32 is 16 percent the what number

We currently have our very first value 32 and the 2nd value 16. Let"s i think the unknown value is Y i beg your pardon answer us will discover out.

You are watching: 32 is 16% of what number

As we have actually all the compelled values we need, now we deserve to put castle in a an easy mathematical formula together below:

STEP 132 = 16% × Y

STEP 232 = 16/100× Y

Multiplying both political parties by 100 and dividing both political parties of the equation by 16 we will certainly arrive at:

STEP 3Y = 32 × 100/16

STEP 4Y = 32 × 100 ÷ 16

STEP 5Y = 200

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

You can quickly calculate 32 is 16 percent the what number by using any regular calculator, simply go into 32 × 100 ÷ 16 and you will get your answer i beg your pardon is 200


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Sample questions, answers, and also how to

Question: her friend has actually a bag the marbles, and he tells you the 16 percent the the marbles space red. If there space 32 red marbles. How countless marbles walk he have altogether?

Answer: 200 marbles.

How To: In this problem, we recognize that the Percent is 16, and also we are additionally told the the component of the marbles is red, for this reason we understand that the component is 32.

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

Part/Total = Percent/100

By making use of a an easy algebra we have the right to re-arrange our Percent equation like this:

Part × 100/Percent = Total

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

Let"s try it the end on ours problem about the marbles, that"s very basic and it"s simply two steps! We know that the "Part" (red marbles) is 32.

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

32 × 100 = 3200

In step two, us take the 3200 and also divide the by the "Percent", i m sorry we room told is 16.

So, 3200 separated by 16 = 200

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

Question: A high institution marching band has 32 flute players, If 16 percent that the tape members pat the flute, climate how plenty of members space in the band?

Answer: There space 200 members in the band.

How To: The smaller sized "Part" in this difficulty is 32 due to the fact that there are 32 flute players and we are told that they make up 16 percent that the band, so the "Percent" is 16.

Again, it"s the "Total" that"s lacking here, and also to find it, we simply need to follow our 2 step procedure as the vault problem.

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

32 × 100 = 3200

For action two, we divide that 3200 through the "Percent", which is 16.

See more: What Happened To Flo And Kay Lyman Where Are They Now, What Happened To Flo And Kay Lyman

3200 divided by 16 amounts to 200

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

Another action by step method

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

Step 2: first writing that as: 100% / Y = 16% / 32

Step 3: autumn the portion marks to leveling your calculations: 100 / Y = 16 / 32

Step 4: multiply both sides by Y to move Y ~ above the best side that the equation: 100 = ( 16 / 32 ) Y

Step 5: simplifying the appropriate side, us get: 100 = 16 Y

Step 6: splitting both sides of the equation by 16, we will arrive in ~ 200 = Y

This pipeline us through our last answer: 32 is 16 percent the 200


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