Question: 35 is 3.5 percent of what number?

Answer: 1000

If you want to learn more, then please keep reading, and you won't be disappointed.

Step by step solution for calculating 35 is 3.5 percent of what number

We already have our first value 35 and the second value 3.5. 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 135 = 3.5% × Y

STEP 235 = 3.5/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 3.5 we will arrive at:

STEP 3Y = 35 × 100/3.5

STEP 4Y = 35 × 100 ÷ 3.5

STEP 5Y = 1000

Finally, we have found the value of Y which is 1000 and that is our answer.

You can easily calculate 35 is 3.5 percent of what number by using any regular calculator, simply enter 35 × 100 ÷ 3.5 and you will get your answer which is 1000

Here is a Percentage Calculator to solve similar calculations such as 35 is 3.5 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.

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percent of what number

Sample questions, answers, and how to

Question: Your friend has a bag of marbles, and he tells you that 3.5 percent of the marbles are red. If there are 35 red marbles. How many marbles does he have altogether?

Answer: 1000 marbles.

How To: In this problem, we know that the Percent is 3.5, and we are also told that the Part of the marbles is red, so we know that the Part is 35.

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 35.

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

35 × 100 = 3500

In step two, we take that 3500 and divide it by the "Percent", which we are told is 3.5.

So, 3500 divided by 3.5 = 1000

And that means that the total number of marbles is 1000.


Question: A high school marching band has 35 flute players, If 3.5 percent of the band members play the flute, then how many members are in the band?

Answer: There are 1000 members in the band.

How To: The smaller "Part" in this problem is 35 since there are 35 flute players and we are told that they make up 3.5 percent of the band, so the "Percent" is 3.5.

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.

35 × 100 = 3500

For step two, we divide that 3500 by the "Percent", which is 3.5.

3500 divided by 3.5 equals 1000

That means that the total number of band members is 1000.

Another step by step method

Step 1: Let's assume the unknown value is Y

Step 2: First writing it as: 100% / Y = 3.5% / 35

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 3.5 / 35

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 3.5 / 35 ) Y

Step 5: Simplifying the right side, we get: 100 = 3.5 Y

Step 6: Dividing both sides of the equation by 3.5, we will arrive at 1000 = Y

This leaves us with our final answer: 35 is 3.5 percent of 1000

Percentage Table

35 is 3.5 percent of 1000
35.01 is 3.5 percent of 1000.286
35.02 is 3.5 percent of 1000.571
35.03 is 3.5 percent of 1000.857
35.04 is 3.5 percent of 1001.143
35.05 is 3.5 percent of 1001.429
35.06 is 3.5 percent of 1001.714
35.07 is 3.5 percent of 1002
35.08 is 3.5 percent of 1002.286
35.09 is 3.5 percent of 1002.571
35.1 is 3.5 percent of 1002.857
35.11 is 3.5 percent of 1003.143
35.12 is 3.5 percent of 1003.429
35.13 is 3.5 percent of 1003.714
35.14 is 3.5 percent of 1004
35.15 is 3.5 percent of 1004.286
35.16 is 3.5 percent of 1004.571
35.17 is 3.5 percent of 1004.857
35.18 is 3.5 percent of 1005.143
35.19 is 3.5 percent of 1005.429
35.2 is 3.5 percent of 1005.714
35.21 is 3.5 percent of 1006
35.22 is 3.5 percent of 1006.286
35.23 is 3.5 percent of 1006.571
35.24 is 3.5 percent of 1006.857
35.25 is 3.5 percent of 1007.143
35.26 is 3.5 percent of 1007.429
35.27 is 3.5 percent of 1007.714
35.28 is 3.5 percent of 1008
35.29 is 3.5 percent of 1008.286
35.3 is 3.5 percent of 1008.571
35.31 is 3.5 percent of 1008.857
35.32 is 3.5 percent of 1009.143
35.33 is 3.5 percent of 1009.429
35.34 is 3.5 percent of 1009.714
35.35 is 3.5 percent of 1010
35.36 is 3.5 percent of 1010.286
35.37 is 3.5 percent of 1010.571
35.38 is 3.5 percent of 1010.857
35.39 is 3.5 percent of 1011.143
35.4 is 3.5 percent of 1011.429
35.41 is 3.5 percent of 1011.714
35.42 is 3.5 percent of 1012
35.43 is 3.5 percent of 1012.286
35.44 is 3.5 percent of 1012.571
35.45 is 3.5 percent of 1012.857
35.46 is 3.5 percent of 1013.143
35.47 is 3.5 percent of 1013.429
35.48 is 3.5 percent of 1013.714
35.49 is 3.5 percent of 1014
35.5 is 3.5 percent of 1014.286
35.51 is 3.5 percent of 1014.571
35.52 is 3.5 percent of 1014.857
35.53 is 3.5 percent of 1015.143
35.54 is 3.5 percent of 1015.429
35.55 is 3.5 percent of 1015.714
35.56 is 3.5 percent of 1016
35.57 is 3.5 percent of 1016.286
35.58 is 3.5 percent of 1016.571
35.59 is 3.5 percent of 1016.857
35.6 is 3.5 percent of 1017.143
35.61 is 3.5 percent of 1017.429
35.62 is 3.5 percent of 1017.714
35.63 is 3.5 percent of 1018
35.64 is 3.5 percent of 1018.286
35.65 is 3.5 percent of 1018.571
35.66 is 3.5 percent of 1018.857
35.67 is 3.5 percent of 1019.143
35.68 is 3.5 percent of 1019.429
35.69 is 3.5 percent of 1019.714
35.7 is 3.5 percent of 1020
35.71 is 3.5 percent of 1020.286
35.72 is 3.5 percent of 1020.571
35.73 is 3.5 percent of 1020.857
35.74 is 3.5 percent of 1021.143
35.75 is 3.5 percent of 1021.429
35.76 is 3.5 percent of 1021.714
35.77 is 3.5 percent of 1022
35.78 is 3.5 percent of 1022.286
35.79 is 3.5 percent of 1022.571
35.8 is 3.5 percent of 1022.857
35.81 is 3.5 percent of 1023.143
35.82 is 3.5 percent of 1023.429
35.83 is 3.5 percent of 1023.714
35.84 is 3.5 percent of 1024
35.85 is 3.5 percent of 1024.286
35.86 is 3.5 percent of 1024.571
35.87 is 3.5 percent of 1024.857
35.88 is 3.5 percent of 1025.143
35.89 is 3.5 percent of 1025.429
35.9 is 3.5 percent of 1025.714
35.91 is 3.5 percent of 1026
35.92 is 3.5 percent of 1026.286
35.93 is 3.5 percent of 1026.571
35.94 is 3.5 percent of 1026.857
35.95 is 3.5 percent of 1027.143
35.96 is 3.5 percent of 1027.429
35.97 is 3.5 percent of 1027.714
35.98 is 3.5 percent of 1028
35.99 is 3.5 percent of 1028.286