Solved: 99.998 is 13.333 Percent of What Number? = 750.004

Step by step solution for calculating 99.998 is 13.333 percent of what number

We already have our first value 99.998 and the second value 13.333. 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 199.998 = 13.333% × Y

STEP 299.998 = 13.333/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 13.333 we will arrive at:

STEP 3Y = 99.998 × 100/13.333

STEP 4Y = 99.998 × 100 ÷ 13.333

STEP 5Y = 750.004

Finally, we have found the value of Y which is 750.004 and that is our answer.

You can easily calculate 99.998 is 13.333 percent of what number by using any regular calculator, simply enter 99.998 × 100 ÷ 13.333 and you will get your answer which is 750.004

Sample questions, answers, and how to

Question: Your friend has a bag of marbles, and he tells you that 13.333 percent of the marbles are red. If there are 99.998 red marbles. How many marbles does he have altogether?

Answer: 750.004 marbles.

How To: In this problem, we know that the Percent is 13.333, and we are also told that the Part of the marbles is red, so we know that the Part is 99.998.

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 99.998.

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

99.998 × 100 = 9999.8

In step two, we take that 9999.8 and divide it by the "Percent", which we are told is 13.333.

So, 9999.8 divided by 13.333 = 750.004

And that means that the total number of marbles is 750.004.

Question: A high school marching band has 99.998 flute players, If 13.333 percent of the band members play the flute, then how many members are in the band?

Answer: There are 750.004 members in the band.

How To: The smaller "Part" in this problem is 99.998 since there are 99.998 flute players and we are told that they make up 13.333 percent of the band, so the "Percent" is 13.333.

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.

99.998 × 100 = 9999.8

For step two, we divide that 9999.8 by the "Percent", which is 13.333.

9999.8 divided by 13.333 equals 750.004

That means that the total number of band members is 750.004.

Another step by step method

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

Step 2: First writing it as: 100% / Y = 13.333% / 99.998

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 13.333 / 99.998

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 13.333 / 99.998 ) Y

Step 5: Simplifying the right side, we get: 100 = 13.333 Y

Step 6: Dividing both sides of the equation by 13.333, we will arrive at 750.004 = Y

This leaves us with our final answer: 99.998 is 13.333 percent of 750.004

Question: 99.998 is 13.333 percent of what number?

Answer: 750.004

Step by step solution for calculating 99.998 is 13.333 percent of what number

Sample questions, answers, and how to

Another step by step method

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