Step by action solution for calculating 18 is 45 percent the what number

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

You are watching: 18 is 45 percent of what number

As we have actually all the forced values we need, now we can put lock in a an easy mathematical formula together below:

STEP 118 = 45% × Y

STEP 218 = 45/100× Y

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

STEP 3Y = 18 × 100/45

STEP 4Y = 18 × 100 ÷ 45

STEP 5Y = 40

Finally, we have found the value of Y i beg your pardon is 40 and also that is ours answer.

You can easily calculate 18 is 45 percent of what number through using any type of regular calculator, simply enter 18 × 100 ÷ 45 and also you will obtain your answer i m sorry is 40


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Sample questions, answers, and how to

Question: your friend has actually a bag of marbles, and he tells you the 45 percent the the marbles room red. If there room 18 red marbles. How plenty of marbles does he have actually altogether?

Answer: 40 marbles.

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

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

Part/Total = Percent/100

By using a basic algebra we deserve to re-arrange our Percent equation like this:

Part × 100/Percent = Total

If us take the "Part" and also multiply that by 100, and then we division that through the "Percent", us will obtain 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 recognize that the "Part" (red marbles) is 18.

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

18 × 100 = 1800

In action two, us take the 1800 and divide it by the "Percent", i beg your pardon we room told is 45.

So, 1800 separated by 45 = 40

And that method that the total number of marbles is 40.

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

Answer: There are 40 members in the band.

How To: The smaller sized "Part" in this difficulty is 18 because there space 18 flute players and also we room told that they comprise 45 percent the the band, for this reason the "Percent" is 45.

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

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

18 × 100 = 1800

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

See more: Remington 742 Woodsmaster 30 06 Value, & Trends 2021, What Is A Remington 30

1800 divided by 45 equals 40

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

Another action by action method

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

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

Step 3: drop the portion marks to simplify your calculations: 100 / Y = 45 / 18

Step 4: main point both sides by Y to relocate Y ~ above the ideal side that the equation: 100 = ( 45 / 18 ) Y

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

Step 6: separating both political parties of the equation through 45, we will arrive in ~ 40 = Y

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


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