Step by action solution because that calculating 88 is 11 percent of what number

We currently have our very first value 88 and the second value 11. Let"s assume the unknown value is Y i beg your pardon answer we will uncover out.

You are watching: 11 is what percent of 88

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

STEP 188 = 11% × Y

STEP 288 = 11/100× Y

Multiplying both political parties by 100 and dividing both sides of the equation by 11 we will arrive at:

STEP 3Y = 88 × 100/11

STEP 4Y = 88 × 100 ÷ 11

STEP 5Y = 800

Finally, we have discovered the value of Y i beg your pardon is 800 and also that is ours answer.

You can easily calculate 88 is 11 percent the what number by using any type of regular calculator, simply enter 88 × 100 ÷ 11 and you will acquire your answer i beg your pardon is 800

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Sample questions, answers, and how to

Question: your friend has actually a bag the marbles, and he speak you that 11 percent that the marbles space red. If there space 88 red marbles. How plenty of marbles walk he have altogether?

Answer: 800 marbles.

How To: In this problem, we understand that the Percent is 11, and we are likewise told that the part of the marbles is red, therefore we recognize that the part is 88.

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

Part/Total = Percent/100

By making use of a simple algebra we have the right to re-arrange ours Percent equation like this:

Part × 100/Percent = Total

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

Let"s shot it out on our problem around the marbles, that"s very an easy and it"s simply two steps! We recognize that the "Part" (red marbles) is 88.

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

88 × 100 = 8800

In step two, us take that 8800 and also divide the by the "Percent", i beg your pardon we room told is 11.

So, 8800 divided by 11 = 800

And that method that the total number of marbles is 800.

Question: A high school marching band has actually 88 flute players, If 11 percent of the band members pat the flute, climate how many members are in the band?

Answer: There are 800 members in the band.

How To: The smaller "Part" in this difficulty is 88 because there are 88 flute players and we are told that they make up 11 percent that the band, for this reason the "Percent" is 11.

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

88 × 100 = 8800

For action two, we divide that 8800 by the "Percent", i m sorry is 11.

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8800 split by 11 equals 800

That means that the total number of band members is 800.

Another action by step method

Let"s assume the unknown worth is Y

First writing it as: 100% / Y = 11% / 88

Drop the portion marks to leveling your calculations: 100 / Y = 11 / 88

Multiply both sides by Y to relocate Y top top the best side that the equation: 100 = ( 11 / 88 ) Y