87 Is 75 Percent Of What Number

Pace by step solution for computing 84 is 75 pct of what number

Nosotros already have our first value 84 and the second value 75. Let'south assume the unknown value is Y which answer we will find out.

As we have all the required values we need, At present we can put them in a simple mathematical formula every bit beneath:

STEP one 84 = 75% × Y

STEP two 84 = 75 / 100 × Y

Multiplying both sides by 100 and dividing both sides of the equation by 75 we will arrive at:

Stride 3 Y = 84 × 100 / 75

Stride 4 Y = 84 × 100 ÷ 75

Pace 5 Y = 112

Finally, we have establish the value of Y which is 112 and that is our answer.

You lot can easily calculate 84 is 75 pct of what number past using any regular calculator, merely enter 84 × 100 ÷ 75 and you will become your answer which is 112

Here is a Percentage Calculator to solve like calculations such as 84 is 75 percent of what number. You can solve this blazon of calculation with your values by entering them into the figurer'due south fields, and click 'Calculate' to get the result and explanation.

Sample questions, answers, and how to

Question: Your friend has a pocketbook of marbles, and he tells yous that 75 percentage of the marbles are reddish. If there are 84 red marbles. How many marbles does he have altogether?

Answer: 112 marbles.

How To: In this problem, nosotros know that the Pct is 75, and we are also told that the Part of the marbles is cherry, so we know that the Office is 84.

Then, that ways that it must be the Total that's missing. Hither is the way to figure out what the Full is:

Function / Total = Percent / 100

By using a simple algebra nosotros can re-arrange our Per centum equation similar this:

Office × 100 / Per centum = Total

If we take the "Function" and multiply it by 100, and then we divide that by the "Percent", we will become the "Full".

Allow's try it out on our problem about the marbles, that's very simple and information technology's just two steps! We know that the "Role" (red marbles) is 84.

So pace one is to only multiply that Part by 100.

84 × 100 = 8400

In step 2, we have that 8400 and separate it by the "Percentage", which nosotros are told is 75.

And so, 8400 divided by 75 = 112

And that means that the total number of marbles is 112.

Question: A high school marching ring has 84 flute players, If 75 pct of the ring members play the flute, then how many members are in the band?

Answer: There are 112 members in the ring.

How To: The smaller "Part" in this problem is 84 since there are 84 flute players and we are told that they brand up 75 percentage of the band, so the "Percent" is 75.

Over again, it's the "Total" that's missing here, and to discover it, we but need to follow our two stride procedure as the previous trouble.

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

84 × 100 = 8400

For step two, we dissever that 8400 past the "Percentage", which is 75.

8400 divided past 75 equals 112

That means that the total number of band members is 112.

Another step by step method

Step 1: Let's assume the unknown value is Y

Footstep 2: First writing it as: 100% / Y = 75% / 84

Pace 3: Drop the per centum marks to simplify your calculations: 100 / Y = 75 / 84

Stride iv: Multiply both sides by Y to motion Y on the right side of the equation: 100 = ( 75 / 84 ) Y

Step 5: Simplifying the correct side, we get: 100 = 75 Y

Footstep 6: Dividing both sides of the equation by 75, nosotros will make it at 112 = Y

This leaves us with our concluding reply: 84 is 75 percentage of 112