## Step by step solution for calculating 75 is 60 percent the what number

We already have our an initial value 75 and the second value 60. Let\"s assume the unknown value is Y i beg your pardon answer us will discover out.

You are watching: What percent of 75 is 60

As we have all the required values us need, now we have the right to put them in a simple mathematical formula as below:

STEP 1 75 = 60% × Y

STEP 2 75 = 60/100× Y

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

STEP 3 Y = 75 × 100/60

STEP 4 Y = 75 × 100 ÷ 60

STEP 5 Y = 125

Finally, us have discovered the worth of Y i m sorry is 125 and also that is our answer.

You can easily calculate 75 is 60 percent of what number through using any kind of regular calculator, simply go into 75 × 100 ÷ 60 and you will obtain your answer i m sorry is 125

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## Sample questions, answers, and also how to

Question: her friend has actually a bag the marbles, and also he speak you the 60 percent the the marbles are red. If there are 75 red marbles. How many marbles walk he have actually altogether?

How To: In this problem, we know that the Percent is 60, and also we are also told that the part of the marbles is red, so we understand that the part is 75.

So, that method that it need to be the full that\"s missing. Right here is the way to figure out what the full is:

Part/Total = Percent/100

By utilizing a straightforward algebra we deserve to re-arrange our Percent equation like this:

Part × 100/Percent = Total

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

Let\"s try it out on our problem about the marbles, that\"s very an easy and it\"s simply two steps! We recognize that the \"Part\" (red marbles) is 75.

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

75 × 100 = 7500

In step two, us take that 7500 and also divide it by the \"Percent\", i m sorry we room told is 60.

So, 7500 divided by 60 = 125

And that way that the total number of marbles is 125.

Question: A high institution marching band has 75 flute players, If 60 percent the the tape members play the flute, then how many members room in the band?

Answer: There room 125 members in the band.

How To: The smaller \"Part\" in this trouble is 75 due to the fact that there are 75 flute players and also we room told that they make up 60 percent of the band, therefore the \"Percent\" is 60.

Again, it\"s the \"Total\" that\"s absent here, and also to uncover it, we just need to follow our 2 action procedure as the previous problem.

For step one, we multiply the \"Part\" by 100.

75 × 100 = 7500

For step two, we division that 7500 by the \"Percent\", which is 60.

See more: Simplify Or Reduce Fraction 14/35 In Simplest Form, Simplify 14/35 To The Simplest Form

7500 separated by 60 amounts to 125

That method that the total variety of band members is 125.

## Have time and also want to find out the calculation?

Let\"s i think the unknown value is Y

First writing it as: 100% / Y = 60% / 75

Drop the percentage marks to simplify your calculations: 100 / Y = 60 / 75

Multiply both sides by Y to move Y on the ideal side that the equation: 100 = ( 60 / 75 ) Y