Question: 42 is 46.667 percent of what number

Answer: 42 is 46.667 percent of 89.999

Step by step solution for calculating 42 is 46.667 percent of what number

We already have our first value 42 and the second value 46.667. 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 42 = 46.667% × Y

STEP 2 42 = 46.667/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 46.667 we will arrive at:

STEP 3 Y = 42 × 100/46.667

STEP 4 Y = 42 × 100 ÷ 46.667

STEP 5 Y = 89.999

Finally, we have found the value of Y which is 89.999 and that is our answer.

You can easily calculate 42 is 46.667 percent of what number by using any regular calculator, simply enter 42 × 100 ÷ 46.667 and you will get your answer which is 89.999

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Sample questions, answers, and how to

Question: Your friend has a bag of marbles, and he tells you that 46.667 percent of the marbles are red. If there are 42 red marbles. How many marbles does he have altogether?

Answer: 89.999 marbles.

How To: In this problem, we know that the Percent is 46.667, and we are also told that the Part of the marbles is red, so we know that the Part is 42.

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 42.

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

42 × 100 = 4200

In step two, we take that 4200 and divide it by the "Percent", which we are told is 46.667.

So, 4200 divided by 46.667 = 89.999

And that means that the total number of marbles is 89.999.


Question: A high school marching band has 42 flute players, If 46.667 percent of the band members play the flute, then how many members are in the band?

Answer: There are 89.999 members in the band.

How To: The smaller "Part" in this problem is 42 since there are 42 flute players and we are told that they make up 46.667 percent of the band, so the "Percent" is 46.667.

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.

42 × 100 = 4200

For step two, we divide that 4200 by the "Percent", which is 46.667.

4200 divided by 46.667 equals 89.999

That means that the total number of band members is 89.999.

Have time and want to learn the calculation?

Let's assume the unknown value is Y

First writing it as: 100% / Y = 46.667% / 42

Drop the percentage marks to simplify your calculations: 100 / Y = 46.667 / 42

Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 46.667 / 42 ) Y

Simplifying the right side, we get: 100 = 46.667 Y

Dividing both sides of the equation by 46.667, we will arrive at 89.999 = Y

This leaves us with our final answer: 42 is 46.667 percent of 89.999

Percentage Table

42 is 46.667 percent of 89.999
42.01 is 46.667 percent of 90.021
42.02 is 46.667 percent of 90.042
42.03 is 46.667 percent of 90.064
42.04 is 46.667 percent of 90.085
42.05 is 46.667 percent of 90.106
42.06 is 46.667 percent of 90.128
42.07 is 46.667 percent of 90.149
42.08 is 46.667 percent of 90.171
42.09 is 46.667 percent of 90.192
42.1 is 46.667 percent of 90.214
42.11 is 46.667 percent of 90.235
42.12 is 46.667 percent of 90.256
42.13 is 46.667 percent of 90.278
42.14 is 46.667 percent of 90.299
42.15 is 46.667 percent of 90.321
42.16 is 46.667 percent of 90.342
42.17 is 46.667 percent of 90.364
42.18 is 46.667 percent of 90.385
42.19 is 46.667 percent of 90.406
42.2 is 46.667 percent of 90.428
42.21 is 46.667 percent of 90.449
42.22 is 46.667 percent of 90.471
42.23 is 46.667 percent of 90.492
42.24 is 46.667 percent of 90.514
42.25 is 46.667 percent of 90.535
42.26 is 46.667 percent of 90.556
42.27 is 46.667 percent of 90.578
42.28 is 46.667 percent of 90.599
42.29 is 46.667 percent of 90.621
42.3 is 46.667 percent of 90.642
42.31 is 46.667 percent of 90.664
42.32 is 46.667 percent of 90.685
42.33 is 46.667 percent of 90.706
42.34 is 46.667 percent of 90.728
42.35 is 46.667 percent of 90.749
42.36 is 46.667 percent of 90.771
42.37 is 46.667 percent of 90.792
42.38 is 46.667 percent of 90.814
42.39 is 46.667 percent of 90.835
42.4 is 46.667 percent of 90.856
42.41 is 46.667 percent of 90.878
42.42 is 46.667 percent of 90.899
42.43 is 46.667 percent of 90.921
42.44 is 46.667 percent of 90.942
42.45 is 46.667 percent of 90.964
42.46 is 46.667 percent of 90.985
42.47 is 46.667 percent of 91.006
42.48 is 46.667 percent of 91.028
42.49 is 46.667 percent of 91.049
42.5 is 46.667 percent of 91.071
42.51 is 46.667 percent of 91.092
42.52 is 46.667 percent of 91.114
42.53 is 46.667 percent of 91.135
42.54 is 46.667 percent of 91.156
42.55 is 46.667 percent of 91.178
42.56 is 46.667 percent of 91.199
42.57 is 46.667 percent of 91.221
42.58 is 46.667 percent of 91.242
42.59 is 46.667 percent of 91.264
42.6 is 46.667 percent of 91.285
42.61 is 46.667 percent of 91.306
42.62 is 46.667 percent of 91.328
42.63 is 46.667 percent of 91.349
42.64 is 46.667 percent of 91.371
42.65 is 46.667 percent of 91.392
42.66 is 46.667 percent of 91.414
42.67 is 46.667 percent of 91.435
42.68 is 46.667 percent of 91.456
42.69 is 46.667 percent of 91.478
42.7 is 46.667 percent of 91.499
42.71 is 46.667 percent of 91.521
42.72 is 46.667 percent of 91.542
42.73 is 46.667 percent of 91.564
42.74 is 46.667 percent of 91.585
42.75 is 46.667 percent of 91.606
42.76 is 46.667 percent of 91.628
42.77 is 46.667 percent of 91.649
42.78 is 46.667 percent of 91.671
42.79 is 46.667 percent of 91.692
42.8 is 46.667 percent of 91.714
42.81 is 46.667 percent of 91.735
42.82 is 46.667 percent of 91.756
42.83 is 46.667 percent of 91.778
42.84 is 46.667 percent of 91.799
42.85 is 46.667 percent of 91.821
42.86 is 46.667 percent of 91.842
42.87 is 46.667 percent of 91.864
42.88 is 46.667 percent of 91.885
42.89 is 46.667 percent of 91.906
42.9 is 46.667 percent of 91.928
42.91 is 46.667 percent of 91.949
42.92 is 46.667 percent of 91.971
42.93 is 46.667 percent of 91.992
42.94 is 46.667 percent of 92.014
42.95 is 46.667 percent of 92.035
42.96 is 46.667 percent of 92.056
42.97 is 46.667 percent of 92.078
42.98 is 46.667 percent of 92.099
42.99 is 46.667 percent of 92.121