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Question: 200 is 80 percent of what number?

Answer: 250

If you want to learn more, then please keep reading, and you won't be disappointed.

Step by step solution for calculating 200 is 80 percent of what number

We already have our first value 200 and the second value 80. 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 1200 = 80% × Y

STEP 2200 = 80/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 80 we will arrive at:

STEP 3Y = 200 × 100/80

STEP 4Y = 200 × 100 ÷ 80

STEP 5Y = 250

Finally, we have found the value of Y which is 250 and that is our answer.

You can easily calculate 200 is 80 percent of what number by using any regular calculator, simply enter 200 × 100 ÷ 80 and you will get your answer which is 250

Here is a Percentage Calculator to solve similar calculations such as 200 is 80 percent of what number. You can solve this type of calculation with your values by entering them into the calculator's fields, and click 'Calculate' to get the result and explanation.

percent of what number

Sample questions, answers, and how to

Question: Your friend has a bag of marbles, and he tells you that 80 percent of the marbles are red. If there are 200 red marbles. How many marbles does he have altogether?

Answer: 250 marbles.

How To: In this problem, we know that the Percent is 80, and we are also told that the Part of the marbles is red, so we know that the Part is 200.

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 200.

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

200 × 100 = 20000

In step two, we take that 20000 and divide it by the "Percent", which we are told is 80.

So, 20000 divided by 80 = 250

And that means that the total number of marbles is 250.

Question: A high school marching band has 200 flute players, If 80 percent of the band members play the flute, then how many members are in the band?

Answer: There are 250 members in the band.

How To: The smaller "Part" in this problem is 200 since there are 200 flute players and we are told that they make up 80 percent of the band, so the "Percent" is 80.

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.

200 × 100 = 20000

For step two, we divide that 20000 by the "Percent", which is 80.

20000 divided by 80 equals 250

That means that the total number of band members is 250.

Another step by step method

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

Step 2: First writing it as: 100% / Y = 80% / 200

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 80 / 200

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 80 / 200 ) Y

Step 5: Simplifying the right side, we get: 100 = 80 Y

Step 6: Dividing both sides of the equation by 80, we will arrive at 250 = Y

This leaves us with our final answer: 200 is 80 percent of 250