Step by step solution because that calculating 6 is 60 percent of what number

We currently have our an initial value 6 and the second value 60. Let"s i think the unknown worth is Y which answer we will find out.

You are watching: 60 is 10% of what number

As we have all the compelled values us need, now we deserve to put castle in a an easy mathematical formula together below:

STEP 16 = 60% × Y

STEP 26 = 60/100× Y

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

STEP 3Y = 6 × 100/60

STEP 4Y = 6 × 100 ÷ 60

STEP 5Y = 10

Finally, us have discovered the worth of Y which is 10 and that is our answer.

You can conveniently calculate 6 is 60 percent of what number through using any type of regular calculator, simply enter 6 × 100 ÷ 60 and you will gain your answer which is 10

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Sample questions, answers, and also how to

Question: your friend has actually a bag that marbles, and also he tells you that 60 percent that the marbles space red. If there are 6 red marbles. How plenty of marbles does he have actually altogether?

Answer: 10 marbles.

How To: In this problem, we understand that the Percent is 60, and we are likewise told the the part of the marbles is red, so we understand that the component is 6.

So, that method that it must be the complete that"s missing. Right here is the way to number out what the total is:

Part/Total = Percent/100

By making use of a simple algebra we have the right to re-arrange our Percent equation choose this:

Part × 100/Percent = Total

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

Let"s try it out on ours problem about the marbles, that"s very an easy and it"s just two steps! We understand that the "Part" (red marbles) is 6.

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

6 × 100 = 600

In step two, we take that 600 and divide it by the "Percent", i beg your pardon we room told is 60.

So, 600 split by 60 = 10

And that method that the total number of marbles is 10.

Question: A high college marching band has 6 flute players, If 60 percent of the tape members pat the flute, climate how plenty of members room in the band?

Answer: There space 10 members in the band.

How To: The smaller "Part" in this trouble is 6 because there room 6 flute players and also we space told the they consist of 60 percent of the band, therefore the "Percent" is 60.

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

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

6 × 100 = 600

For step two, we division that 600 by the "Percent", i beg your pardon is 60.

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600 separated by 60 equates to 10

That means that the total variety of band members is 10.

Another action by action method

Let"s i think the unknown value is Y

First creating it as: 100% / Y = 60% / 6

Drop the percent marks to leveling your calculations: 100 / Y = 60 / 6

Multiply both sides by Y to move Y on the best side of the equation: 100 = ( 60 / 6 ) Y