Step by step solution because that calculating 54 is 60 percent the what number

We already have our very first value 54 and the second value 60. Let"s i think the unknown worth is Y i beg your pardon answer we will discover out.

You are watching: 54 is what percent of 90

As we have actually all the forced values we need, currently we have the right to put lock in a basic mathematical formula together below:

STEP 154 = 60% × Y

STEP 254 = 60/100× Y

Multiplying both sides by 100 and also dividing both sides of the equation by 60 we will certainly arrive at:

STEP 3Y = 54 × 100/60

STEP 4Y = 54 × 100 ÷ 60

STEP 5Y = 90

Finally, us have uncovered the worth of Y i m sorry is 90 and also that is ours answer.

You can easily calculate 54 is 60 percent the what number by using any regular calculator, simply get in 54 × 100 ÷ 60 and you will obtain your answer which is 90


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Sample questions, answers, and how to

Question: your friend has a bag of marbles, and also he tells you that 60 percent of the marbles space red. If there room 54 red marbles. How many marbles walk he have altogether?

Answer: 90 marbles.

How To: In this problem, we recognize that the Percent is 60, and also we are likewise told that the part of the marbles is red, so we know that the component is 54.

So, that method that it have to be the total that"s missing. Below is the method to figure out what the complete is:

Part/Total = Percent/100

By using a simple algebra we can re-arrange our Percent equation like this:

Part × 100/Percent = Total

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

Let"s try it out on ours problem around the marbles, that"s very basic and it"s just two steps! We know that the "Part" (red marbles) is 54.

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

54 × 100 = 5400

In step two, us take that 5400 and also divide that by the "Percent", i m sorry we space told is 60.

So, 5400 split by 60 = 90

And that means that the total number of marbles is 90.

Question: A high school marching band has actually 54 flute players, If 60 percent that the band members beat the flute, climate how numerous members are in the band?

Answer: There are 90 members in the band.

How To: The smaller "Part" in this difficulty is 54 because there are 54 flute players and we are told that they comprise 60 percent of the band, therefore the "Percent" is 60.

Again, it"s the "Total" that"s missing here, and to find it, we just need to follow our 2 action procedure as the vault problem.

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

54 × 100 = 5400

For action two, we division that 5400 by the "Percent", i m sorry is 60.

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5400 split by 60 equals 90

That means that the total variety of band members is 90.

Another step by action method

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

Step 2: an initial writing it as: 100% / Y = 60% / 54

Step 3: drop the portion marks to simplify your calculations: 100 / Y = 60 / 54

Step 4: main point both sides by Y to relocate Y ~ above the appropriate side that the equation: 100 = ( 60 / 54 ) Y

Step 5: simplifying the ideal side, us get: 100 = 60 Y

Step 6: dividing both political parties of the equation by 60, we will certainly arrive in ~ 90 = Y

This leaves us with our final answer: 54 is 60 percent of 90


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