Question: 450 is 75 percent of what number

Answer: 450 is 75 percent of 600

Step by step solution for calculating 450 is 75 percent of what number

We already have our first value 450 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 1 450 = 75% × Y

STEP 2 450 = 75/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 75 we will arrive at:

STEP 3 Y = 450 × 100/75

STEP 4 Y = 450 × 100 ÷ 75

STEP 5 Y = 600

Finally, we have found the value of Y which is 600 and that is our answer.

You can easily calculate 450 is 75 percent of what number by using any regular calculator, simply enter 450 × 100 ÷ 75 and you will get your answer which is 600

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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 450 red marbles. How many marbles does he have altogether?

Answer: 600 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 450.

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 450.

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

450 × 100 = 45000

In step two, we take that 45000 and divide it by the "Percent", which we are told is 75.

So, 45000 divided by 75 = 600

And that means that the total number of marbles is 600.


Question: A high school marching band has 450 flute players, If 75 percent of the band members play the flute, then how many members are in the band?

Answer: There are 600 members in the band.

How To: The smaller "Part" in this problem is 450 since there are 450 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.

450 × 100 = 45000

For step two, we divide that 45000 by the "Percent", which is 75.

45000 divided by 75 equals 600

That means that the total number of band members is 600.

Have time and want to learn the calculation?

Let's assume the unknown value is Y

First writing it as: 100% / Y = 75% / 450

Drop the percentage marks to simplify your calculations: 100 / Y = 75 / 450

Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 75 / 450 ) Y

Simplifying the right side, we get: 100 = 75 Y

Dividing both sides of the equation by 75, we will arrive at 600 = Y

This leaves us with our final answer: 450 is 75 percent of 600

Percentage Table

450 is 75 percent of 600
450.01 is 75 percent of 600.013
450.02 is 75 percent of 600.027
450.03 is 75 percent of 600.04
450.04 is 75 percent of 600.053
450.05 is 75 percent of 600.067
450.06 is 75 percent of 600.08
450.07 is 75 percent of 600.093
450.08 is 75 percent of 600.107
450.09 is 75 percent of 600.12
450.1 is 75 percent of 600.133
450.11 is 75 percent of 600.147
450.12 is 75 percent of 600.16
450.13 is 75 percent of 600.173
450.14 is 75 percent of 600.187
450.15 is 75 percent of 600.2
450.16 is 75 percent of 600.213
450.17 is 75 percent of 600.227
450.18 is 75 percent of 600.24
450.19 is 75 percent of 600.253
450.2 is 75 percent of 600.267
450.21 is 75 percent of 600.28
450.22 is 75 percent of 600.293
450.23 is 75 percent of 600.307
450.24 is 75 percent of 600.32
450.25 is 75 percent of 600.333
450.26 is 75 percent of 600.347
450.27 is 75 percent of 600.36
450.28 is 75 percent of 600.373
450.29 is 75 percent of 600.387
450.3 is 75 percent of 600.4
450.31 is 75 percent of 600.413
450.32 is 75 percent of 600.427
450.33 is 75 percent of 600.44
450.34 is 75 percent of 600.453
450.35 is 75 percent of 600.467
450.36 is 75 percent of 600.48
450.37 is 75 percent of 600.493
450.38 is 75 percent of 600.507
450.39 is 75 percent of 600.52
450.4 is 75 percent of 600.533
450.41 is 75 percent of 600.547
450.42 is 75 percent of 600.56
450.43 is 75 percent of 600.573
450.44 is 75 percent of 600.587
450.45 is 75 percent of 600.6
450.46 is 75 percent of 600.613
450.47 is 75 percent of 600.627
450.48 is 75 percent of 600.64
450.49 is 75 percent of 600.653
450.5 is 75 percent of 600.667
450.51 is 75 percent of 600.68
450.52 is 75 percent of 600.693
450.53 is 75 percent of 600.707
450.54 is 75 percent of 600.72
450.55 is 75 percent of 600.733
450.56 is 75 percent of 600.747
450.57 is 75 percent of 600.76
450.58 is 75 percent of 600.773
450.59 is 75 percent of 600.787
450.6 is 75 percent of 600.8
450.61 is 75 percent of 600.813
450.62 is 75 percent of 600.827
450.63 is 75 percent of 600.84
450.64 is 75 percent of 600.853
450.65 is 75 percent of 600.867
450.66 is 75 percent of 600.88
450.67 is 75 percent of 600.893
450.68 is 75 percent of 600.907
450.69 is 75 percent of 600.92
450.7 is 75 percent of 600.933
450.71 is 75 percent of 600.947
450.72 is 75 percent of 600.96
450.73 is 75 percent of 600.973
450.74 is 75 percent of 600.987
450.75 is 75 percent of 601
450.76 is 75 percent of 601.013
450.77 is 75 percent of 601.027
450.78 is 75 percent of 601.04
450.79 is 75 percent of 601.053
450.8 is 75 percent of 601.067
450.81 is 75 percent of 601.08
450.82 is 75 percent of 601.093
450.83 is 75 percent of 601.107
450.84 is 75 percent of 601.12
450.85 is 75 percent of 601.133
450.86 is 75 percent of 601.147
450.87 is 75 percent of 601.16
450.88 is 75 percent of 601.173
450.89 is 75 percent of 601.187
450.9 is 75 percent of 601.2
450.91 is 75 percent of 601.213
450.92 is 75 percent of 601.227
450.93 is 75 percent of 601.24
450.94 is 75 percent of 601.253
450.95 is 75 percent of 601.267
450.96 is 75 percent of 601.28
450.97 is 75 percent of 601.293
450.98 is 75 percent of 601.307
450.99 is 75 percent of 601.32