Question: 105 is 75 percent of what number

Answer: 105 is 75 percent of 140

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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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?

Answer: 140 marbles.

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