# Question: 105 is 75 percent of what number

## Step by step solution for calculating 105 is 75 percent of what number

We already have our first value 105 and the second value 75. 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 = 75% × Y

STEP 2 105 = 75/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 75 we will arrive at:

STEP 3 Y = 105 × 100/75

STEP 4 Y = 105 × 100 ÷ 75

STEP 5 Y = 140

Finally, we have found the value of Y which is 140 and that is our answer.

You can easily calculate 105 is 75 percent of what number by using any regular calculator, simply enter 105 × 100 ÷ 75 and you will get your answer which is 140

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Here is a Percentage Calculator to solve similar calculations such as 105 is 75 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.

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## Sample questions, answers, and how to

Question: Your friend has a bag of marbles, and he tells you that 75 percent of the marbles are red. If there are 105 red marbles. How many marbles does he have altogether?

How To: In this problem, we know that the Percent is 75, 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:

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 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 75.

So, 10500 divided by 75 = 140

And that means that the total number of marbles is 140.

Question: A high school marching band has 105 flute players, If 75 percent of the band members play the flute, then how many members are in the band?

Answer: There are 140 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 75 percent of the band, so the "Percent" is 75.

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 75.

10500 divided by 75 equals 140

That means that the total number of band members is 140.

## Have time and want to learn the calculation?

Let's assume the unknown value is Y

First writing it as: 100% / Y = 75% / 105

Drop the percentage marks to simplify your calculations: 100 / Y = 75 / 105

Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 75 / 105 ) Y

Simplifying the right side, we get: 100 = 75 Y

Dividing both sides of the equation by 75, we will arrive at 140 = Y

This leaves us with our final answer: 105 is 75 percent of 140

## Percentage Table

 105 is 75 percent of 140 105.01 is 75 percent of 140.013 105.02 is 75 percent of 140.027 105.03 is 75 percent of 140.04 105.04 is 75 percent of 140.053 105.05 is 75 percent of 140.067 105.06 is 75 percent of 140.08 105.07 is 75 percent of 140.093 105.08 is 75 percent of 140.107 105.09 is 75 percent of 140.12 105.1 is 75 percent of 140.133 105.11 is 75 percent of 140.147 105.12 is 75 percent of 140.16 105.13 is 75 percent of 140.173 105.14 is 75 percent of 140.187 105.15 is 75 percent of 140.2 105.16 is 75 percent of 140.213 105.17 is 75 percent of 140.227 105.18 is 75 percent of 140.24 105.19 is 75 percent of 140.253
 105.2 is 75 percent of 140.267 105.21 is 75 percent of 140.28 105.22 is 75 percent of 140.293 105.23 is 75 percent of 140.307 105.24 is 75 percent of 140.32 105.25 is 75 percent of 140.333 105.26 is 75 percent of 140.347 105.27 is 75 percent of 140.36 105.28 is 75 percent of 140.373 105.29 is 75 percent of 140.387 105.3 is 75 percent of 140.4 105.31 is 75 percent of 140.413 105.32 is 75 percent of 140.427 105.33 is 75 percent of 140.44 105.34 is 75 percent of 140.453 105.35 is 75 percent of 140.467 105.36 is 75 percent of 140.48 105.37 is 75 percent of 140.493 105.38 is 75 percent of 140.507 105.39 is 75 percent of 140.52
 105.4 is 75 percent of 140.533 105.41 is 75 percent of 140.547 105.42 is 75 percent of 140.56 105.43 is 75 percent of 140.573 105.44 is 75 percent of 140.587 105.45 is 75 percent of 140.6 105.46 is 75 percent of 140.613 105.47 is 75 percent of 140.627 105.48 is 75 percent of 140.64 105.49 is 75 percent of 140.653 105.5 is 75 percent of 140.667 105.51 is 75 percent of 140.68 105.52 is 75 percent of 140.693 105.53 is 75 percent of 140.707 105.54 is 75 percent of 140.72 105.55 is 75 percent of 140.733 105.56 is 75 percent of 140.747 105.57 is 75 percent of 140.76 105.58 is 75 percent of 140.773 105.59 is 75 percent of 140.787
 105.6 is 75 percent of 140.8 105.61 is 75 percent of 140.813 105.62 is 75 percent of 140.827 105.63 is 75 percent of 140.84 105.64 is 75 percent of 140.853 105.65 is 75 percent of 140.867 105.66 is 75 percent of 140.88 105.67 is 75 percent of 140.893 105.68 is 75 percent of 140.907 105.69 is 75 percent of 140.92 105.7 is 75 percent of 140.933 105.71 is 75 percent of 140.947 105.72 is 75 percent of 140.96 105.73 is 75 percent of 140.973 105.74 is 75 percent of 140.987 105.75 is 75 percent of 141 105.76 is 75 percent of 141.013 105.77 is 75 percent of 141.027 105.78 is 75 percent of 141.04 105.79 is 75 percent of 141.053
 105.8 is 75 percent of 141.067 105.81 is 75 percent of 141.08 105.82 is 75 percent of 141.093 105.83 is 75 percent of 141.107 105.84 is 75 percent of 141.12 105.85 is 75 percent of 141.133 105.86 is 75 percent of 141.147 105.87 is 75 percent of 141.16 105.88 is 75 percent of 141.173 105.89 is 75 percent of 141.187 105.9 is 75 percent of 141.2 105.91 is 75 percent of 141.213 105.92 is 75 percent of 141.227 105.93 is 75 percent of 141.24 105.94 is 75 percent of 141.253 105.95 is 75 percent of 141.267 105.96 is 75 percent of 141.28 105.97 is 75 percent of 141.293 105.98 is 75 percent of 141.307 105.99 is 75 percent of 141.32