We already have our first value 105 and the second value 175. 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 1 105 = 175% × Y
STEP 2 105 = 175100× Y
Multiplying both sides by 100 and dividing both sides of the equation by 175 we will arrive at:
STEP 3 Y = 105 × 100175
STEP 4 Y = 105 × 100 ÷ 175
STEP 5 Y = 60
Finally, we have found the value of Y which is 60 and that is our answer.
You can easily calculate 105 is 175 percent of what number by using any regular calculator, simply enter 105 × 100 ÷ 175 and you will get your answer which is 60
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Question: Your friend has a bag of marbles, and he tells you that 175 percent of the marbles are red. If there are 105 red marbles. How many marbles does he have altogether?
Answer: 60 marbles.
How To: In this problem, we know that the Percent is 175, and we are also told that the Part of the marbles is red, so we know that the Part is 105.
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 105.
So step one is to just multiply that Part by 100.
105 × 100 = 10500
In step two, we take that 10500 and divide it by the "Percent", which we are told is 175.
So, 10500 divided by 175 = 60
And that means that the total number of marbles is 60.
Question: A high school marching band has 105 flute players, If 175 percent of the band members play the flute, then how many members are in the band?
Answer: There are 60 members in the band.
How To: The smaller "Part" in this problem is 105 since there are 105 flute players and we are told that they make up 175 percent of the band, so the "Percent" is 175.
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.
105 × 100 = 10500
For step two, we divide that 10500 by the "Percent", which is 175.
10500 divided by 175 equals 60
That means that the total number of band members is 60.
Let's assume the unknown value is Y
First writing it as: 100% / Y = 175% / 105
Drop the percentage marks to simplify your calculations: 100 / Y = 175 / 105
Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 175 / 105 ) Y
Simplifying the right side, we get: 100 = 175 Y
Dividing both sides of the equation by 175, we will arrive at 60 = Y
This leaves us with our final answer: 105 is 175 percent of 60
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