Step by step solution for calculating 18 is 90 percent the what number

We already have our an initial value 18 and also the 2nd value 90. Let"s assume the unknown worth is Y which answer us will uncover out.

You are watching: 90% of what number is 18?

As we have all the compelled values we need, now we deserve to put lock in a simple mathematical formula together below:

STEP 118 = 90% × Y

STEP 218 = 90/100× Y

Multiplying both political parties by 100 and also dividing both sides of the equation by 90 we will certainly arrive at:

STEP 3Y = 18 × 100/90

STEP 4Y = 18 × 100 ÷ 90

STEP 5Y = 20

Finally, we have found the value of Y which is 20 and that is our answer.

You can easily calculate 18 is 90 percent the what number through using any kind of regular calculator, simply go into 18 × 100 ÷ 90 and also you will get your answer i m sorry is 20


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Sample questions, answers, and how to

Question: her friend has a bag the marbles, and also he tells you that 90 percent that the marbles space red. If there space 18 red marbles. How numerous marbles does he have actually altogether?

Answer: 20 marbles.

How To: In this problem, we know that the Percent is 90, and we are likewise told the the component of the marbles is red, for this reason we know that the part is 18.

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

Part/Total = Percent/100

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

Part × 100/Percent = Total

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

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

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

18 × 100 = 1800

In step two, us take the 1800 and also divide it by the "Percent", i beg your pardon we are told is 90.

So, 1800 separated by 90 = 20

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

Question: A high college marching band has 18 flute players, If 90 percent of the band members play the flute, climate how plenty of members space in the band?

Answer: There room 20 members in the band.

How To: The smaller sized "Part" in this trouble is 18 due to the fact that there are 18 flute players and also we room told the they consist of 90 percent that the band, therefore the "Percent" is 90.

Again, it"s the "Total" that"s absent here, and to discover it, we simply need to monitor our 2 step procedure as the ahead problem.

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

18 × 100 = 1800

For step two, we divide that 1800 through the "Percent", which is 90.

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1800 divided by 90 equals 20

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

Another step by action method

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

Step 2: an initial writing that as: 100% / Y = 90% / 18

Step 3: drop the percentage marks to leveling your calculations: 100 / Y = 90 / 18

Step 4: main point both sides by Y to move Y top top the ideal side of the equation: 100 = ( 90 / 18 ) Y

Step 5: simplifying the right side, we get: 100 = 90 Y

Step 6: dividing both political parties of the equation by 90, we will certainly arrive at 20 = Y

This pipeline us with our last answer: 18 is 90 percent of 20


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