Step by step solution because that calculating 75 is 60 percent of what number

We already have our an initial value 75 and the 2nd value 60. Let"s assume the unknown worth is Y i beg your pardon answer us will uncover out.

You are watching: What percent of 75 is 60

As we have all the compelled values us need, currently we have the right to put lock in a simple mathematical formula as below:

STEP 175 = 60% × Y

STEP 275 = 60/100× Y

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

STEP 3Y = 75 × 100/60

STEP 4Y = 75 × 100 ÷ 60

STEP 5Y = 125

Finally, we have discovered the value of Y which is 125 and also that is ours answer.

You can easily calculate 75 is 60 percent the what number by using any type of regular calculator, simply go into 75 × 100 ÷ 60 and you will get your answer i beg your pardon is 125


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Sample questions, answers, and how to

Question: her friend has a bag the marbles, and he tells you the 60 percent the the marbles are red. If there space 75 red marbles. How numerous marbles go he have actually altogether?

Answer: 125 marbles.

How To: In this problem, we know that the Percent is 60, and also we are also told the the component of the marbles is red, for this reason we know that the component is 75.

So, that means that it should be the total that"s missing. Below is the method to number out what the full is:

Part/Total = Percent/100

By making use of a basic algebra we can re-arrange our Percent equation favor this:

Part × 100/Percent = Total

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

Let"s try it out on our problem around the marbles, that"s very straightforward and it"s just two steps! We understand 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 the 7500 and also divide it by the "Percent", i beg your pardon we room told is 60.

So, 7500 split by 60 = 125

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

Question: A high college marching band has 75 flute players, If 60 percent of the band members play the flute, climate how countless members room in the band?

Answer: There room 125 members in the band.

How To: The smaller "Part" in this problem is 75 since there room 75 flute players and we room told the they consist of 60 percent of the band, so the "Percent" is 60.

Again, it"s the "Total" that"s absent here, and also to discover it, we simply need to follow our 2 action procedure as the vault problem.

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

75 × 100 = 7500

For action two, we divide that 7500 by the "Percent", which is 60.

See more: Backstory For Everything Will Be Ok G Eazy Meaning, Everything Will Be Okay G

7500 split by 60 amounts to 125

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

Another action by step method

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

Step 2: first writing that as: 100% / Y = 60% / 75

Step 3: autumn the percent marks to leveling your calculations: 100 / Y = 60 / 75

Step 4: multiply both political parties by Y to move Y top top the ideal side of the equation: 100 = ( 60 / 75 ) Y

Step 5: simple the appropriate side, we get: 100 = 60 Y

Step 6: separating both sides of the equation by 60, we will certainly arrive in ~ 125 = Y

This pipeline us through our final answer: 75 is 60 percent that 125


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