Step by step solution for calculating 15 is 5 percent the what number

We currently have our first value 15 and the 2nd value 5. Let"s assume the unknown worth is Y which answer us will uncover out.

You are watching: 5 of 1500 is what number

As we have all the forced values us need, currently we have the right to put lock in a simple mathematical formula together below:

STEP 115 = 5% × Y

STEP 215 = 5/100× Y

Multiplying both sides by 100 and also dividing both political parties of the equation by 5 we will arrive at:

STEP 3Y = 15 × 100/5

STEP 4Y = 15 × 100 ÷ 5

STEP 5Y = 300

Finally, we have discovered the value of Y i beg your pardon is 300 and also that is our answer.

You can easily calculate 15 is 5 percent the what number through using any type of regular calculator, simply go into 15 × 100 ÷ 5 and also you will obtain your answer which is 300


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Sample questions, answers, and how to

Question: her friend has actually a bag the marbles, and he speak you the 5 percent the the marbles room red. If there are 15 red marbles. How numerous marbles does he have altogether?

Answer: 300 marbles.

How To: In this problem, we know that the Percent is 5, and also we are additionally told the the part of the marbles is red, for this reason we know that the part is 15.

So, that way that it should be the complete that"s missing. Here is the means to figure out what the complete is:

Part/Total = Percent/100

By making use of a basic algebra we have the right to re-arrange our Percent equation favor this:

Part × 100/Percent = Total

If we take the "Part" and also multiply that by 100, and then we divide that through the "Percent", us will gain the "Total".

Let"s shot it the end on our problem around the marbles, that"s very straightforward and it"s just two steps! We recognize that the "Part" (red marbles) is 15.

So action one is to simply multiply that part by 100.

15 × 100 = 1500

In action two, we take that 1500 and also divide it by the "Percent", i beg your pardon we are told is 5.

So, 1500 split by 5 = 300

And that means that the total number of marbles is 300.

Question: A high school marching band has actually 15 flute players, If 5 percent that the band members pat the flute, climate how countless members are in the band?

Answer: There space 300 members in the band.

How To: The smaller "Part" in this problem is 15 because there room 15 flute players and we are told that they consist of 5 percent that the band, for this reason the "Percent" is 5.

Again, it"s the "Total" that"s lacking here, and also to uncover it, we simply need to monitor our 2 step procedure together the previous problem.

For step one, us multiply the "Part" through 100.

15 × 100 = 1500

For action two, we division that 1500 by the "Percent", i m sorry is 5.

See more: How Cold Does It Have To Be To Kill Mosquitoes ? &Raquo; Own The Winter

1500 split by 5 equates to 300

That means that the total variety of band members is 300.

Another step by action method

Step 1: Let"s assume the unknown worth is Y

Step 2: first writing it as: 100% / Y = 5% / 15

Step 3: autumn the percentage marks to leveling your calculations: 100 / Y = 5 / 15

Step 4: multiply both sides by Y to move Y top top the best side the the equation: 100 = ( 5 / 15 ) Y

Step 5: simple the ideal side, us get: 100 = 5 Y

Step 6: dividing both political parties of the equation through 5, we will arrive at 300 = Y

This pipeline us through our last answer: 15 is 5 percent of 300


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