Step by step solution because that calculating 18 is 45 percent that what number

We already have our first value 18 and the 2nd value 45. Let"s assume the unknown value is Y i beg your pardon answer us will find out.

You are watching: 18 is what percent of 45

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

STEP 118 = 45% × Y

STEP 218 = 45/100× Y

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

STEP 3Y = 18 × 100/45

STEP 4Y = 18 × 100 ÷ 45

STEP 5Y = 40

Finally, us have uncovered the value of Y i m sorry is 40 and also that is our answer.

You can quickly calculate 18 is 45 percent the what number by using any kind of regular calculator, simply get in 18 × 100 ÷ 45 and you will obtain your answer i beg your pardon is 40


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Sample questions, answers, and how to

Question: your friend has actually a bag the marbles, and he speak you the 45 percent of the marbles room red. If there space 18 red marbles. How countless marbles walk he have altogether?

Answer: 40 marbles.

How To: In this problem, we recognize that the Percent is 45, and also we are additionally told that the part of the marbles is red, so we understand that the component is 18.

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

Part/Total = Percent/100

By making use of a an easy algebra we have the right to re-arrange our Percent equation choose this:

Part × 100/Percent = Total

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

Let"s shot it the end on our problem about the marbles, that"s very an easy and it"s just two steps! We recognize that the "Part" (red marbles) is 18.

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

18 × 100 = 1800

In action two, we take the 1800 and divide it by the "Percent", i m sorry we are told is 45.

So, 1800 divided by 45 = 40

And that means that the total variety of marbles is 40.

Question: A high institution marching band has 18 flute players, If 45 percent of the band members play the flute, climate how plenty of members room in the band?

Answer: There are 40 members in the band.

How To: The smaller sized "Part" in this problem is 18 because there are 18 flute players and we room told that they make up 45 percent the the band, so the "Percent" is 45.

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

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

18 × 100 = 1800

For step two, we division that 1800 by the "Percent", which is 45.

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1800 split by 45 amounts to 40

That way that the total number of band members is 40.

Another step by action method

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

Step 2: an initial writing that as: 100% / Y = 45% / 18

Step 3: drop the percentage marks to leveling your calculations: 100 / Y = 45 / 18

Step 4: multiply both sides by Y to relocate Y top top the best side that the equation: 100 = ( 45 / 18 ) Y

Step 5: simplifying the appropriate side, we get: 100 = 45 Y

Step 6: splitting both political parties of the equation by 45, we will certainly arrive at 40 = Y

This pipeline us v our final answer: 18 is 45 percent of 40


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