Solved: 50 is 11.111 Percent of What Number? = 450.005

Step by step solution for calculating 50 is 11.111 percent of what number

We already have our first value 50 and the second value 11.111. Let's assume the unknown value is Y which answer we will find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

STEP 150 = 11.111% × Y

STEP 250 = 11.111/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 11.111 we will arrive at:

STEP 3Y = 50 × 100/11.111

STEP 4Y = 50 × 100 ÷ 11.111

STEP 5Y = 450.005

Finally, we have found the value of Y which is 450.005 and that is our answer.

You can easily calculate 50 is 11.111 percent of what number by using any regular calculator, simply enter 50 × 100 ÷ 11.111 and you will get your answer which is 450.005

Sample questions, answers, and how to

Question: Your friend has a bag of marbles, and he tells you that 11.111 percent of the marbles are red. If there are 50 red marbles. How many marbles does he have altogether?

Answer: 450.005 marbles.

How To: In this problem, we know that the Percent is 11.111, and we are also told that the Part of the marbles is red, so we know that the Part is 50.

So, that means that it must be the Total that's missing. Here is the way to figure out what the Total is:

Part/Total = Percent/100

By using a simple algebra we can re-arrange our Percent equation like 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 try it out on our problem about the marbles, that's very simple and it's just two steps! We know that the "Part" (red marbles) is 50.

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

50 × 100 = 5000

In step two, we take that 5000 and divide it by the "Percent", which we are told is 11.111.

So, 5000 divided by 11.111 = 450.005

And that means that the total number of marbles is 450.005.

Question: A high school marching band has 50 flute players, If 11.111 percent of the band members play the flute, then how many members are in the band?

Answer: There are 450.005 members in the band.

How To: The smaller "Part" in this problem is 50 since there are 50 flute players and we are told that they make up 11.111 percent of the band, so the "Percent" is 11.111.

Again, it's the "Total" that's missing here, and to find it, we just need to follow our 2 step procedure as the previous problem.

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

50 × 100 = 5000

For step two, we divide that 5000 by the "Percent", which is 11.111.

5000 divided by 11.111 equals 450.005

That means that the total number of band members is 450.005.

Another step by step method

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

Step 2: First writing it as: 100% / Y = 11.111% / 50

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 11.111 / 50

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 11.111 / 50 ) Y

Step 5: Simplifying the right side, we get: 100 = 11.111 Y

Step 6: Dividing both sides of the equation by 11.111, we will arrive at 450.005 = Y

This leaves us with our final answer: 50 is 11.111 percent of 450.005

Question: 50 is 11.111 percent of what number?

Answer: 450.005

Step by step solution for calculating 50 is 11.111 percent of what number

Sample questions, answers, and how to

Another step by step method

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