Solved: 98 is 140 Percent of What Number? = 70

Step by step solution for calculating 98 is 140 percent of what number

We already have our first value 98 and the second value 140. Let's assume the unknown value is Y which answer we will find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

STEP 198 = 140% × Y

STEP 298 = 140/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 140 we will arrive at:

STEP 3Y = 98 × 100/140

STEP 4Y = 98 × 100 ÷ 140

STEP 5Y = 70

Finally, we have found the value of Y which is 70 and that is our answer.

You can easily calculate 98 is 140 percent of what number by using any regular calculator, simply enter 98 × 100 ÷ 140 and you will get your answer which is 70

Sample questions, answers, and how to

Question: Your friend has a bag of marbles, and he tells you that 140 percent of the marbles are red. If there are 98 red marbles. How many marbles does he have altogether?

Answer: 70 marbles.

How To: In this problem, we know that the Percent is 140, and we are also told that the Part of the marbles is red, so we know that the Part is 98.

So, that means that it must be the Total that's missing. Here is the way to figure out what the Total is:

Part/Total = Percent/100

By using a simple algebra we can re-arrange our Percent equation like this:

Part × 100/Percent = Total

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

Let's try it out on our problem about the marbles, that's very simple and it's just two steps! We know that the "Part" (red marbles) is 98.

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

98 × 100 = 9800

In step two, we take that 9800 and divide it by the "Percent", which we are told is 140.

So, 9800 divided by 140 = 70

And that means that the total number of marbles is 70.

Question: A high school marching band has 98 flute players, If 140 percent of the band members play the flute, then how many members are in the band?

Answer: There are 70 members in the band.

How To: The smaller "Part" in this problem is 98 since there are 98 flute players and we are told that they make up 140 percent of the band, so the "Percent" is 140.

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

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

98 × 100 = 9800

For step two, we divide that 9800 by the "Percent", which is 140.

9800 divided by 140 equals 70

That means that the total number of band members is 70.

Another step by step method

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

Step 2: First writing it as: 100% / Y = 140% / 98

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 140 / 98

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 140 / 98 ) Y

Step 5: Simplifying the right side, we get: 100 = 140 Y

Step 6: Dividing both sides of the equation by 140, we will arrive at 70 = Y

This leaves us with our final answer: 98 is 140 percent of 70

Question: 98 is 140 percent of what number?

Answer: 70

Step by step solution for calculating 98 is 140 percent of what number

Sample questions, answers, and how to

Another step by step method

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