Step by step solution because that calculating 9 is 45 percent of what number

We currently have our very first value 9 and the 2nd value 45. Let"s assume the unknown value is Y i beg your pardon answer we will find out.

You are watching: 45% of what number is 9?

As we have actually all the compelled values us need, currently we can put castle in a straightforward mathematical formula as below:

STEP 19 = 45% × Y

STEP 29 = 45/100× Y

Multiplying both sides by 100 and also dividing both political parties of the equation by 45 we will certainly arrive at:

STEP 3Y = 9 × 100/45

STEP 4Y = 9 × 100 ÷ 45

STEP 5Y = 20

Finally, we have discovered the value of Y i beg your pardon is 20 and also that is ours answer.

You can conveniently calculate 9 is 45 percent that what number by using any type of regular calculator, simply get in 9 × 100 ÷ 45 and also you will obtain your answer i m sorry is 20


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Sample questions, answers, and also how to

Question: your friend has a bag the marbles, and also he tells you that 45 percent the the marbles room red. If there space 9 red marbles. How countless marbles does he have altogether?

Answer: 20 marbles.

How To: In this problem, we know that the Percent is 45, and also we are additionally told the the part of the marbles is red, so we know that the component is 9.

So, that means that it need to be the full that"s missing. Below is the method to figure out what the total is:

Part/Total = Percent/100

By using a straightforward algebra we deserve to re-arrange our Percent equation favor this:

Part × 100/Percent = Total

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

Let"s shot it the end on our problem about the marbles, that"s very an easy and it"s simply two steps! We understand that the "Part" (red marbles) is 9.

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

9 × 100 = 900

In action two, we take that 900 and also divide that by the "Percent", which we room told is 45.

So, 900 separated by 45 = 20

And that means that the total variety of marbles is 20.

Question: A high school marching band has 9 flute players, If 45 percent that the tape members play the flute, climate how many members are in the band?

Answer: There are 20 members in the band.

How To: The smaller "Part" in this trouble is 9 since there are 9 flute players and we space told the they make up 45 percent that the band, therefore the "Percent" is 45.

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

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

9 × 100 = 900

For action two, we divide that 900 by the "Percent", which is 45.

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900 separated by 45 amounts to 20

That way that the total number of band members is 20.

Another action by action method

Step 1: Let"s i think the unknown worth is Y

Step 2: an initial writing the as: 100% / Y = 45% / 9

Step 3: fall the percentage marks to simplify your calculations: 100 / Y = 45 / 9

Step 4: multiply both sides by Y to relocate Y top top the right side of the equation: 100 = ( 45 / 9 ) Y

Step 5: simple the appropriate side, us get: 100 = 45 Y

Step 6: separating both sides of the equation through 45, we will arrive at 20 = Y

This pipeline us through our final answer: 9 is 45 percent that 20


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