Step by step solution for calculating 45 is 15 percent the what number

We already have our very first value 45 and the 2nd value 15. Let"s assume the unknown worth is Y i m sorry answer us will discover out.

You are watching: 15 of what number is 45

As we have actually all the compelled values we need, currently we have the right to put castle in a basic mathematical formula as below:

STEP 1 45 = 15% × Y

STEP 2 45 = 15/100× Y

Multiplying both political parties by 100 and dividing both political parties of the equation by 15 we will arrive at:

STEP 3 Y = 45 × 100/15

STEP 4 Y = 45 × 100 ÷ 15

STEP 5 Y = 300

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

You can easily calculate 45 is 15 percent that what number through using any type of regular calculator, simply go into 45 × 100 ÷ 15 and also you will obtain your answer i m sorry is 300

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Sample questions, answers, and also how to

Question: your friend has actually a bag of marbles, and also he speak you the 15 percent that the marbles room red. If there room 45 red marbles. How countless marbles go he have altogether?

Answer: 300 marbles.

How To: In this problem, we understand that the Percent is 15, and also we are additionally told the the component of the marbles is red, for this reason we recognize that the component is 45.

So, that means that it need to be the total that"s missing. Right here is the way to number out what the full is:

Part/Total = Percent/100

By utilizing a simple algebra we can re-arrange our Percent equation choose this:

Part × 100/Percent = Total

If us take the "Part" and also multiply the by 100, and then we division that by the "Percent", we will acquire the "Total".

Let"s try it the end on our problem about the marbles, that"s very straightforward and it"s simply two steps! We understand that the "Part" (red marbles) is 45.

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

45 × 100 = 4500

In action two, we take that 4500 and divide it by the "Percent", which we room told is 15.

So, 4500 split by 15 = 300

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

Question: A high school marching band has 45 flute players, If 15 percent of the tape members pat the flute, climate how countless members are in the band?

Answer: There are 300 members in the band.

How To: The smaller "Part" in this problem is 45 due to the fact that there are 45 flute players and also we are told the they comprise 15 percent that the band, for this reason the "Percent" is 15.

Again, it"s the "Total" that"s absent here, and also to find it, we simply need to follow our 2 step procedure together the previous problem.

For step one, we multiply the "Part" by 100.

45 × 100 = 4500

For action two, we division that 4500 through the "Percent", i m sorry is 15.

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4500 separated by 15 equates to 300

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

Have time and want to discover the calculation?

Let"s assume the unknown value is Y

First writing it as: 100% / Y = 15% / 45

Drop the percentage marks to leveling your calculations: 100 / Y = 15 / 45

Multiply both sides by Y to move Y on the best side that the equation: 100 = ( 15 / 45 ) Y