How To Find 7.5 Percent Of A Number

Stride by step solution for calculating 6 is 7.5 percent of what number

We already have our first value 6 and the second value 7.v. Let's assume the unknown value is Y which answer we volition find out.

Equally nosotros have all the required values we need, Now we can put them in a simple mathematical formula equally below:

STEP one six = 7.5% × Y

STEP two 6 = 7.5 / 100 × Y

Multiplying both sides by 100 and dividing both sides of the equation past seven.v nosotros volition go far at:

STEP iii Y = half dozen × 100 / seven.5

Pace iv Y = half dozen × 100 ÷ 7.five

STEP 5 Y = 80

Finally, we accept plant the value of Y which is 80 and that is our respond.

You can hands summate 6 is 7.5 percent of what number past using whatsoever regular figurer, simply enter 6 × 100 ÷ 7.5 and y'all will get your answer which is eighty

Here is a Percent Computer to solve similar calculations such as 6 is 7.5 per centum of what number. You lot tin can solve this type of adding with your values by entering them into the figurer's fields, and click 'Calculate' to become the effect and explanation.

Sample questions, answers, and how to

Question: Your friend has a bag of marbles, and he tells y'all that 7.5 per centum of the marbles are crimson. If there are 6 red marbles. How many marbles does he have altogether?

Reply: fourscore marbles.

How To: In this trouble, nosotros know that the Percent is 7.5, and nosotros are also told that the Part of the marbles is reddish, then nosotros know that the Office is 6.

And so, that means that information technology must exist the Full that's missing. Here is the way to figure out what the Total is:

Function / Total = Percentage / 100

By using a simple algebra we can re-conform our Per centum equation like this:

Part × 100 / Percent = Total

If nosotros take the "Part" and multiply it past 100, and then nosotros dissever that by the "Percent", we will get the "Total".

Allow's attempt it out on our trouble about the marbles, that's very unproblematic and it's just two steps! We know that the "Office" (blood-red marbles) is 6.

So step 1 is to just multiply that Part by 100.

half-dozen × 100 = 600

In step two, we have that 600 and carve up information technology past the "Percent", which we are told is seven.5.

So, 600 divided by 7.v = fourscore

And that means that the full number of marbles is 80.

Question: A high schoolhouse marching band has 6 flute players, If 7.five percent of the band members play the flute, then how many members are in the band?

Answer: There are 80 members in the band.

How To: The smaller "Role" in this trouble is six since there are 6 flute players and we are told that they make upward vii.5 percent of the band, so the "Percent" is vii.v.

Over again, it's the "Total" that'southward missing here, and to find information technology, we just need to follow our 2 step procedure as the previous problem.

For footstep one, we multiply the "Part" past 100.

six × 100 = 600

For step ii, nosotros divide that 600 by the "Per centum", which is 7.5.

600 divided by seven.5 equals 80

That means that the total number of band members is 80.