Solved: 111 is 60 Percent of What Number? = 185

Step by step solution for calculating 111 is 60 percent of what number

We already have our first value 111 and the second value 60. 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 1111 = 60% × Y

STEP 2111 = 60/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 60 we will arrive at:

STEP 3Y = 111 × 100/60

STEP 4Y = 111 × 100 ÷ 60

STEP 5Y = 185

Finally, we have found the value of Y which is 185 and that is our answer.

You can easily calculate 111 is 60 percent of what number by using any regular calculator, simply enter 111 × 100 ÷ 60 and you will get your answer which is 185

Sample questions, answers, and how to

Question: Your friend has a bag of marbles, and he tells you that 60 percent of the marbles are red. If there are 111 red marbles. How many marbles does he have altogether?

Answer: 185 marbles.

How To: In this problem, we know that the Percent is 60, and we are also told that the Part of the marbles is red, so we know that the Part is 111.

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 111.

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

111 × 100 = 11100

In step two, we take that 11100 and divide it by the "Percent", which we are told is 60.

So, 11100 divided by 60 = 185

And that means that the total number of marbles is 185.

Question: A high school marching band has 111 flute players, If 60 percent of the band members play the flute, then how many members are in the band?

Answer: There are 185 members in the band.

How To: The smaller "Part" in this problem is 111 since there are 111 flute players and we are told that they make up 60 percent of the band, so the "Percent" is 60.

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.

111 × 100 = 11100

For step two, we divide that 11100 by the "Percent", which is 60.

11100 divided by 60 equals 185

That means that the total number of band members is 185.

Another step by step method

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

Step 2: First writing it as: 100% / Y = 60% / 111

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 60 / 111

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 60 / 111 ) Y

Step 5: Simplifying the right side, we get: 100 = 60 Y

Step 6: Dividing both sides of the equation by 60, we will arrive at 185 = Y

This leaves us with our final answer: 111 is 60 percent of 185

Question: 111 is 60 percent of what number?

Answer: 185

Step by step solution for calculating 111 is 60 percent of what number

Sample questions, answers, and how to

Another step by step method

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