Step by step solution because that calculating 120 is 15 percent of what number

We already have our very first value 120 and also the second value 15. Let"s i think the unknown value is Y which answer we will discover out.

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As we have actually all the required values we need, now we can put castle in a simple mathematical formula as below:

STEP 1120 = 15% × Y

STEP 2120 = 15/100× Y

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

STEP 3Y = 120 × 100/15

STEP 4Y = 120 × 100 ÷ 15

STEP 5Y = 800

Finally, we have uncovered the value of Y i beg your pardon is 800 and also that is ours answer.

You can quickly calculate 120 is 15 percent the what number through using any type of regular calculator, simply go into 120 × 100 ÷ 15 and you will acquire your answer which is 800


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Sample questions, answers, and how to

Question: your friend has actually a bag that marbles, and also he speak you that 15 percent the the marbles room red. If there room 120 red marbles. How numerous marbles walk he have actually altogether?

Answer: 800 marbles.

How To: In this problem, we understand that the Percent is 15, and also we are likewise told the the component of the marbles is red, therefore we know that the part is 120.

So, that means that it have to be the complete that"s missing. Here is the method to number out what the complete is:

Part/Total = Percent/100

By utilizing a an easy algebra we can re-arrange our Percent equation favor this:

Part × 100/Percent = Total

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

Let"s shot it out on our problem around the marbles, that"s very straightforward and it"s simply two steps! We understand that the "Part" (red marbles) is 120.

So action one is to just multiply that component by 100.

120 × 100 = 12000

In action two, us take that 12000 and divide the by the "Percent", which we room told is 15.

So, 12000 separated by 15 = 800

And that method that the total variety of marbles is 800.

Question: A high college marching band has 120 flute players, If 15 percent that the tape members beat the flute, climate how many members room in the band?

Answer: There are 800 members in the band.

How To: The smaller "Part" in this problem is 120 since there room 120 flute players and also we are told that they comprise 15 percent the the band, for this reason the "Percent" is 15.

Again, it"s the "Total" that"s missing here, and to discover it, we simply need to follow our 2 action procedure together the vault problem.

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

120 × 100 = 12000

For action two, we division that 12000 by the "Percent", i beg your pardon is 15.

See more: I Throw My Hands Up In The Air Lyrics "Throw Your Hands Up In The Air"

12000 split by 15 equates to 800

That method that the total variety of band members is 800.

Another action by step method

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

Step 2: first writing the as: 100% / Y = 15% / 120

Step 3: fall the portion marks to simplify your calculations: 100 / Y = 15 / 120

Step 4: multiply both sides by Y to relocate Y ~ above the right side of the equation: 100 = ( 15 / 120 ) Y

Step 5: simple the best side, us get: 100 = 15 Y

Step 6: splitting both sides of the equation by 15, we will arrive at 800 = Y

This leaves us through our final answer: 120 is 15 percent of 800


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