Question: 105 is 175 percent of what number

Answer: 105 is 175 percent of 60

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

You may also be interested in:

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.

is
percent of what number

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?

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:

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