# Question: 35 is 3.5 percent of what number?

## 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 1 35 = 3.5% × Y

STEP 2 35 = 3.5/100× Y

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

STEP 3 Y = 35 × 100/3.5

STEP 4 Y = 35 × 100 ÷ 3.5

STEP 5 Y = 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.

is
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?

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