Step by action solution for calculating 11 is 55 percent the what number

We currently have our first value 11 and also the second value 55. Let"s i think the unknown worth is Y which answer we will find out.

You are watching: 11 is 55 of what number

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

STEP 111 = 55% × Y

STEP 211 = 55/100× Y

Multiplying both political parties by 100 and also dividing both political parties of the equation by 55 we will arrive at:

STEP 3Y = 11 × 100/55

STEP 4Y = 11 × 100 ÷ 55

STEP 5Y = 20

Finally, we have found the worth of Y i beg your pardon is 20 and that is our answer.

You can easily calculate 11 is 55 percent that what number by using any kind of regular calculator, simply enter 11 × 100 ÷ 55 and you will acquire your answer i m sorry is 20


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Sample questions, answers, and how to

Question: her friend has actually a bag that marbles, and he speak you the 55 percent of the marbles room red. If there are 11 red marbles. How many marbles does he have altogether?

Answer: 20 marbles.

How To: In this problem, we understand that the Percent is 55, and we are likewise told the the part of the marbles is red, therefore we understand that the part is 11.

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

Part/Total = Percent/100

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

Part × 100/Percent = Total

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

Let"s shot it the end on ours problem around the marbles, that"s very simple and it"s just two steps! We understand that the "Part" (red marbles) is 11.

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

11 × 100 = 1100

In step two, us take the 1100 and divide it by the "Percent", which we space told is 55.

So, 1100 split by 55 = 20

And that way that the total variety of marbles is 20.

Question: A high college marching band has actually 11 flute players, If 55 percent of the band members pat the flute, climate how numerous members room in the band?

Answer: There space 20 members in the band.

How To: The smaller "Part" in this trouble is 11 because there room 11 flute players and we room told the they comprise 55 percent the the band, so the "Percent" is 55.

Again, it"s the "Total" that"s absent here, and also to discover it, we simply need to monitor our 2 step procedure together the vault problem.

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

11 × 100 = 1100

For action two, we division that 1100 by the "Percent", which is 55.

See more: Driving Distance From St Louis To Nashville, Tn, St Louis To Nashville Distance (Stl To Bna)

1100 split by 55 amounts to 20

That way that the total number of band members is 20.

Another action by step method

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

Step 2: an initial writing the as: 100% / Y = 55% / 11

Step 3: drop the portion marks to leveling your calculations: 100 / Y = 55 / 11

Step 4: multiply both political parties by Y to relocate Y on the best side the the equation: 100 = ( 55 / 11 ) Y

Step 5: simple the right side, we get: 100 = 55 Y

Step 6: separating both political parties of the equation by 55, we will certainly arrive in ~ 20 = Y

This pipeline us through our final answer: 11 is 55 percent the 20


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