## Step by step solution because that calculating 60 is 80 percent of what number

We currently have our very first value **60** and the 2nd value **80**. Let"s assume the unknown value is **Y** i m sorry answer us will uncover out.

You are watching: 60 is 80 of what number

As we have all the forced values us need, now we can put castle in a straightforward mathematical formula as below:

STEP 160 = 80% × Y

STEP 260 = 80/100× Y

Multiplying both political parties by 100 and also dividing both sides of the equation by 80 we will certainly arrive at:

STEP 3Y = 60 × 100/80

STEP 4Y = 60 × 100 ÷ 80

STEP 5Y = 75

Finally, we have uncovered the worth of Y which is 75 and also that is our answer.

You can conveniently calculate **60 is 80 percent the what number** by using any kind of regular calculator, simply enter **60 × 100 ÷ 80** and also you will obtain your answer i beg your pardon is **75**

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## Sample questions, answers, and also how to

**Question:** her friend has actually a bag the marbles, and also he tells you that 80 percent of the marbles are red. If there are 60 red marbles. How many marbles go he have altogether?

**Answer:** 75 marbles.

**How To:** In this problem, we understand that the Percent is 80, and we are also told that the part of the marbles is red, therefore we understand that the part is 60.

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

Part/Total = Percent/100

By utilizing a simple algebra we have the right to re-arrange our Percent equation like this:

Part × 100/Percent = Total

If we take the "Part" and multiply the by 100, and then we divide that by the "Percent", we will acquire the "Total".

Let"s shot it out on our problem around the marbles, that"s very simple and it"s just two steps! We know that the "Part" (red marbles) is 60.

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

60 × 100 = 6000

In action two, us take the 6000 and also divide it by the "Percent", which we space told is 80.

So, 6000 split by 80 = 75

And that means that the total variety of marbles is 75.

**Question:** A high college marching band has actually 60 flute players, If 80 percent the the band members beat the flute, then how countless members room in the band?

**Answer:** There are 75 members in the band.

**How To:** The smaller "Part" in this trouble is 60 because there space 60 flute players and we room told the they consist of 80 percent of the band, therefore the "Percent" is 80.

Again, it"s the "Total" that"s missing here, and to uncover it, we just need to follow our 2 action procedure together the previous problem.

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

60 × 100 = 6000

For step two, we division that 6000 by the "Percent", which is 80.

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6000 split by 80 amounts to 75

That method that the total number of band members is 75.

## Another step by step method

Let"s assume the unknown value is **Y**

First creating it as: **100% / Y = 80% / 60**

Drop the percent marks to simplify your calculations: **100 / Y = 80 / 60**

Multiply both sides by Y to move Y on the ideal side that the equation: **100 = ( 80 / 60 ) Y**

Simplifying the appropriate side, we get: **100 = 80 Y**

Dividing both political parties of the equation through 80, we will arrive in ~ **75 = Y**

This leaves us through our last answer: **60 is 80 percent that 75**

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