# Question: 105 is 175 percent of what number

## Step by step solution for calculating 105 is 175 percent of what number

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 = 175/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 175 we will arrive at:

STEP 3 Y = 105 × 100/175

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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Here is a Percentage Calculator to solve similar calculations such as 105 is 175 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 175 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 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:

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 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.

## Have time and want to learn the calculation?

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

## Percentage Table

 105 is 175 percent of 60 105.01 is 175 percent of 60.006 105.02 is 175 percent of 60.011 105.03 is 175 percent of 60.017 105.04 is 175 percent of 60.023 105.05 is 175 percent of 60.029 105.06 is 175 percent of 60.034 105.07 is 175 percent of 60.04 105.08 is 175 percent of 60.046 105.09 is 175 percent of 60.051 105.1 is 175 percent of 60.057 105.11 is 175 percent of 60.063 105.12 is 175 percent of 60.069 105.13 is 175 percent of 60.074 105.14 is 175 percent of 60.08 105.15 is 175 percent of 60.086 105.16 is 175 percent of 60.091 105.17 is 175 percent of 60.097 105.18 is 175 percent of 60.103 105.19 is 175 percent of 60.109
 105.2 is 175 percent of 60.114 105.21 is 175 percent of 60.12 105.22 is 175 percent of 60.126 105.23 is 175 percent of 60.131 105.24 is 175 percent of 60.137 105.25 is 175 percent of 60.143 105.26 is 175 percent of 60.149 105.27 is 175 percent of 60.154 105.28 is 175 percent of 60.16 105.29 is 175 percent of 60.166 105.3 is 175 percent of 60.171 105.31 is 175 percent of 60.177 105.32 is 175 percent of 60.183 105.33 is 175 percent of 60.189 105.34 is 175 percent of 60.194 105.35 is 175 percent of 60.2 105.36 is 175 percent of 60.206 105.37 is 175 percent of 60.211 105.38 is 175 percent of 60.217 105.39 is 175 percent of 60.223
 105.4 is 175 percent of 60.229 105.41 is 175 percent of 60.234 105.42 is 175 percent of 60.24 105.43 is 175 percent of 60.246 105.44 is 175 percent of 60.251 105.45 is 175 percent of 60.257 105.46 is 175 percent of 60.263 105.47 is 175 percent of 60.269 105.48 is 175 percent of 60.274 105.49 is 175 percent of 60.28 105.5 is 175 percent of 60.286 105.51 is 175 percent of 60.291 105.52 is 175 percent of 60.297 105.53 is 175 percent of 60.303 105.54 is 175 percent of 60.309 105.55 is 175 percent of 60.314 105.56 is 175 percent of 60.32 105.57 is 175 percent of 60.326 105.58 is 175 percent of 60.331 105.59 is 175 percent of 60.337
 105.6 is 175 percent of 60.343 105.61 is 175 percent of 60.349 105.62 is 175 percent of 60.354 105.63 is 175 percent of 60.36 105.64 is 175 percent of 60.366 105.65 is 175 percent of 60.371 105.66 is 175 percent of 60.377 105.67 is 175 percent of 60.383 105.68 is 175 percent of 60.389 105.69 is 175 percent of 60.394 105.7 is 175 percent of 60.4 105.71 is 175 percent of 60.406 105.72 is 175 percent of 60.411 105.73 is 175 percent of 60.417 105.74 is 175 percent of 60.423 105.75 is 175 percent of 60.429 105.76 is 175 percent of 60.434 105.77 is 175 percent of 60.44 105.78 is 175 percent of 60.446 105.79 is 175 percent of 60.451
 105.8 is 175 percent of 60.457 105.81 is 175 percent of 60.463 105.82 is 175 percent of 60.469 105.83 is 175 percent of 60.474 105.84 is 175 percent of 60.48 105.85 is 175 percent of 60.486 105.86 is 175 percent of 60.491 105.87 is 175 percent of 60.497 105.88 is 175 percent of 60.503 105.89 is 175 percent of 60.509 105.9 is 175 percent of 60.514 105.91 is 175 percent of 60.52 105.92 is 175 percent of 60.526 105.93 is 175 percent of 60.531 105.94 is 175 percent of 60.537 105.95 is 175 percent of 60.543 105.96 is 175 percent of 60.549 105.97 is 175 percent of 60.554 105.98 is 175 percent of 60.56 105.99 is 175 percent of 60.566