Question: 48 is 30 percent of what number

Answer: 48 is 30 percent of 160

Step by step solution for calculating 48 is 30 percent of what number

We already have our first value 48 and the second value 30. 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 48 = 30% × Y

STEP 2 48 = 30/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 30 we will arrive at:

STEP 3 Y = 48 × 100/30

STEP 4 Y = 48 × 100 ÷ 30

STEP 5 Y = 160

Finally, we have found the value of Y which is 160 and that is our answer.

You can easily calculate 48 is 30 percent of what number by using any regular calculator, simply enter 48 × 100 ÷ 30 and you will get your answer which is 160

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Sample questions, answers, and how to

Question: Your friend has a bag of marbles, and he tells you that 30 percent of the marbles are red. If there are 48 red marbles. How many marbles does he have altogether?

Answer: 160 marbles.

How To: In this problem, we know that the Percent is 30, and we are also told that the Part of the marbles is red, so we know that the Part is 48.

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 48.

So step one is to just multiply that Part by 100.

48 × 100 = 4800

In step two, we take that 4800 and divide it by the "Percent", which we are told is 30.

So, 4800 divided by 30 = 160

And that means that the total number of marbles is 160.


Question: A high school marching band has 48 flute players, If 30 percent of the band members play the flute, then how many members are in the band?

Answer: There are 160 members in the band.

How To: The smaller "Part" in this problem is 48 since there are 48 flute players and we are told that they make up 30 percent of the band, so the "Percent" is 30.

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.

48 × 100 = 4800

For step two, we divide that 4800 by the "Percent", which is 30.

4800 divided by 30 equals 160

That means that the total number of band members is 160.

Have time and want to learn the calculation?

Let's assume the unknown value is Y

First writing it as: 100% / Y = 30% / 48

Drop the percentage marks to simplify your calculations: 100 / Y = 30 / 48

Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 30 / 48 ) Y

Simplifying the right side, we get: 100 = 30 Y

Dividing both sides of the equation by 30, we will arrive at 160 = Y

This leaves us with our final answer: 48 is 30 percent of 160

Percentage Table

48 is 30 percent of 160
48.01 is 30 percent of 160.033
48.02 is 30 percent of 160.067
48.03 is 30 percent of 160.1
48.04 is 30 percent of 160.133
48.05 is 30 percent of 160.167
48.06 is 30 percent of 160.2
48.07 is 30 percent of 160.233
48.08 is 30 percent of 160.267
48.09 is 30 percent of 160.3
48.1 is 30 percent of 160.333
48.11 is 30 percent of 160.367
48.12 is 30 percent of 160.4
48.13 is 30 percent of 160.433
48.14 is 30 percent of 160.467
48.15 is 30 percent of 160.5
48.16 is 30 percent of 160.533
48.17 is 30 percent of 160.567
48.18 is 30 percent of 160.6
48.19 is 30 percent of 160.633
48.2 is 30 percent of 160.667
48.21 is 30 percent of 160.7
48.22 is 30 percent of 160.733
48.23 is 30 percent of 160.767
48.24 is 30 percent of 160.8
48.25 is 30 percent of 160.833
48.26 is 30 percent of 160.867
48.27 is 30 percent of 160.9
48.28 is 30 percent of 160.933
48.29 is 30 percent of 160.967
48.3 is 30 percent of 161
48.31 is 30 percent of 161.033
48.32 is 30 percent of 161.067
48.33 is 30 percent of 161.1
48.34 is 30 percent of 161.133
48.35 is 30 percent of 161.167
48.36 is 30 percent of 161.2
48.37 is 30 percent of 161.233
48.38 is 30 percent of 161.267
48.39 is 30 percent of 161.3
48.4 is 30 percent of 161.333
48.41 is 30 percent of 161.367
48.42 is 30 percent of 161.4
48.43 is 30 percent of 161.433
48.44 is 30 percent of 161.467
48.45 is 30 percent of 161.5
48.46 is 30 percent of 161.533
48.47 is 30 percent of 161.567
48.48 is 30 percent of 161.6
48.49 is 30 percent of 161.633
48.5 is 30 percent of 161.667
48.51 is 30 percent of 161.7
48.52 is 30 percent of 161.733
48.53 is 30 percent of 161.767
48.54 is 30 percent of 161.8
48.55 is 30 percent of 161.833
48.56 is 30 percent of 161.867
48.57 is 30 percent of 161.9
48.58 is 30 percent of 161.933
48.59 is 30 percent of 161.967
48.6 is 30 percent of 162
48.61 is 30 percent of 162.033
48.62 is 30 percent of 162.067
48.63 is 30 percent of 162.1
48.64 is 30 percent of 162.133
48.65 is 30 percent of 162.167
48.66 is 30 percent of 162.2
48.67 is 30 percent of 162.233
48.68 is 30 percent of 162.267
48.69 is 30 percent of 162.3
48.7 is 30 percent of 162.333
48.71 is 30 percent of 162.367
48.72 is 30 percent of 162.4
48.73 is 30 percent of 162.433
48.74 is 30 percent of 162.467
48.75 is 30 percent of 162.5
48.76 is 30 percent of 162.533
48.77 is 30 percent of 162.567
48.78 is 30 percent of 162.6
48.79 is 30 percent of 162.633
48.8 is 30 percent of 162.667
48.81 is 30 percent of 162.7
48.82 is 30 percent of 162.733
48.83 is 30 percent of 162.767
48.84 is 30 percent of 162.8
48.85 is 30 percent of 162.833
48.86 is 30 percent of 162.867
48.87 is 30 percent of 162.9
48.88 is 30 percent of 162.933
48.89 is 30 percent of 162.967
48.9 is 30 percent of 163
48.91 is 30 percent of 163.033
48.92 is 30 percent of 163.067
48.93 is 30 percent of 163.1
48.94 is 30 percent of 163.133
48.95 is 30 percent of 163.167
48.96 is 30 percent of 163.2
48.97 is 30 percent of 163.233
48.98 is 30 percent of 163.267
48.99 is 30 percent of 163.3