Step by step solution for calculating 27 is 60 percent of what number

We currently have our first value 27 and the second value 60. Let"s assume the unknown value is Y i beg your pardon answer we will find out.

You are watching: 27 is what percent of 60

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

STEP 127 = 60% × Y

STEP 227 = 60/100× Y

Multiplying both political parties by 100 and dividing both political parties of the equation by 60 we will arrive at:

STEP 3Y = 27 × 100/60

STEP 4Y = 27 × 100 ÷ 60

STEP 5Y = 45

Finally, us have found the worth of Y i m sorry is 45 and that is our answer.

You can easily calculate 27 is 60 percent that what number by using any regular calculator, simply enter 27 × 100 ÷ 60 and you will acquire your answer i beg your pardon is 45

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Sample questions, answers, and also how to

Question: your friend has a bag that marbles, and also he tells you the 60 percent the the marbles space red. If there room 27 red marbles. How plenty of marbles does he have altogether?

Answer: 45 marbles.

How To: In this problem, we recognize that the Percent is 60, and we are likewise told that the component of the marbles is red, so we know that the part is 27.

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

Part/Total = Percent/100

By making use of a basic algebra we have the right 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 by the "Percent", we will get the "Total".

Let"s try it out on our problem around the marbles, that"s very straightforward and it"s simply two steps! We understand that the "Part" (red marbles) is 27.

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

27 × 100 = 2700

In action two, we take that 2700 and also divide that by the "Percent", which we room told is 60.

So, 2700 separated by 60 = 45

And that means that the total number of marbles is 45.

Question: A high institution marching band has 27 flute players, If 60 percent the the band members beat the flute, then how many members space in the band?

Answer: There are 45 members in the band.

How To: The smaller "Part" in this trouble is 27 since there room 27 flute players and we space told the they make up 60 percent the the band, so the "Percent" is 60.

Again, it"s the "Total" that"s lacking here, and to discover it, we simply need to monitor our 2 action procedure as the previous problem.

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

27 × 100 = 2700

For step two, we divide that 2700 by the "Percent", which is 60.

See more: What Does Otr Mean In Text

2700 divided by 60 equates to 45

That method that the total number of band members is 45.

Another action by action method

Let"s assume the unknown worth is Y

First composing it as: 100% / Y = 60% / 27

Drop the percentage marks to simplify your calculations: 100 / Y = 60 / 27

Multiply both sides by Y to move Y ~ above the ideal side of the equation: 100 = ( 60 / 27 ) Y

Simplifying the appropriate side, we get: 100 = 60 Y

Dividing both political parties of the equation by 60, we will certainly arrive in ~ 45 = Y

This leaves us with our last answer: 27 is 60 percent the 45


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