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We already have our first value 200 and the second value 16.667. 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 = 16.667% × Y
STEP 2200 = 16.667100× Y
Multiplying both sides by 100 and dividing both sides of the equation by 16.667 we will arrive at:
STEP 3Y = 200 × 10016.667
STEP 4Y = 200 × 100 ÷ 16.667
STEP 5Y = 1199.976
Finally, we have found the value of Y which is 1199.976 and that is our answer.
You can easily calculate 200 is 16.667 percent of what number by using any regular calculator, simply enter 200 × 100 ÷ 16.667 and you will get your answer which is 1199.976
Here is a Percentage Calculator to solve similar calculations such as 200 is 16.667 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.
Question: Your friend has a bag of marbles, and he tells you that 16.667 percent of the marbles are red. If there are 200 red marbles. How many marbles does he have altogether?
Answer: 1199.976 marbles.
How To: In this problem, we know that the Percent is 16.667, 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:
PartTotal = Percent100
By using a simple algebra we can re-arrange our Percent equation like this:
Part × 100Percent = 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 16.667.
So, 20000 divided by 16.667 = 1199.976
And that means that the total number of marbles is 1199.976.
Question: A high school marching band has 200 flute players, If 16.667 percent of the band members play the flute, then how many members are in the band?
Answer: There are 1199.976 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 16.667 percent of the band, so the "Percent" is 16.667.
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 16.667.
20000 divided by 16.667 equals 1199.976
That means that the total number of band members is 1199.976.
Step 1: Let's assume the unknown value is Y
Step 2: First writing it as: 100% / Y = 16.667% / 200
Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 16.667 / 200
Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 16.667 / 200 ) Y
Step 5: Simplifying the right side, we get: 100 = 16.667 Y
Step 6: Dividing both sides of the equation by 16.667, we will arrive at 1199.976 = Y
This leaves us with our final answer: 200 is 16.667 percent of 1199.976