Step by step solution for calculating 6 is 10 percent that what number

We currently have our first value 6 and the second value 10. Let"s i think the unknown value is Y i beg your pardon answer we will find out.

You are watching: What percent of 10 is 6

As we have actually all the forced values us need, now we deserve to put lock in a straightforward mathematical formula as below:

STEP 16 = 10% × Y

STEP 26 = 10/100× Y

Multiplying both sides by 100 and also dividing both sides of the equation by 10 we will certainly arrive at:

STEP 3Y = 6 × 100/10

STEP 4Y = 6 × 100 ÷ 10

STEP 5Y = 60

Finally, us have uncovered the worth of Y i m sorry is 60 and that is our answer.

You can quickly calculate 6 is 10 percent the what number through using any type of regular calculator, simply go into 6 × 100 ÷ 10 and you will gain your answer i beg your pardon is 60


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Sample questions, answers, and also how to

Question: her friend has a bag that marbles, and he tells you that 10 percent that the marbles are red. If there are 6 red marbles. How countless marbles go he have actually altogether?

Answer: 60 marbles.

How To: In this problem, we recognize that the Percent is 10, and we are additionally told that the component of the marbles is red, therefore we understand that the part is 6.

So, that way that it have to be the total that"s missing. Right here is the means to number out what the full is:

Part/Total = Percent/100

By making use of a straightforward algebra we deserve to re-arrange ours Percent equation choose this:

Part × 100/Percent = Total

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

Let"s shot it the end on our problem around the marbles, that"s very an easy and it"s simply two steps! We understand that the "Part" (red marbles) is 6.

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

6 × 100 = 600

In step two, we take the 600 and also divide the by the "Percent", i m sorry we are told is 10.

So, 600 divided by 10 = 60

And that way that the total variety of marbles is 60.

Question: A high college marching band has 6 flute players, If 10 percent of the tape members play the flute, climate how many members are in the band?

Answer: There space 60 members in the band.

How To: The smaller "Part" in this trouble is 6 because there room 6 flute players and we space told the they comprise 10 percent of the band, so the "Percent" is 10.

Again, it"s the "Total" that"s absent here, and also to uncover it, we just need to monitor our 2 step procedure together the vault problem.

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

6 × 100 = 600

For step two, we division that 600 by the "Percent", i beg your pardon is 10.

See more: Are John Are You The One Still Together? Maybachdiamonds

600 separated by 10 amounts to 60

That way that the total variety of band members is 60.

Another action by step method

Step 1: Let"s assume the unknown worth is Y

Step 2: first writing the as: 100% / Y = 10% / 6

Step 3: drop the portion marks to leveling your calculations: 100 / Y = 10 / 6

Step 4: multiply both political parties by Y to relocate Y on the best side of the equation: 100 = ( 10 / 6 ) Y

Step 5: simplifying the ideal side, we get: 100 = 10 Y

Step 6: separating both political parties of the equation by 10, we will certainly arrive in ~ 60 = Y

This pipeline us with our last answer: 6 is 10 percent of 60


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