Here is a Percentage Calculator to solve similar calculations such as 130 is 20 percent of what number. You can solve this type of calculation with your values by entering them into the calculator's fields, and click 'Calculate' to get the result and explanation.
We already have our first value 130 and the second value 20. 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 1
130 = 20% × Y
STEP 2130 = 20100× Y
Multiplying both sides by 100 and dividing both sides of the equation by 20 we will arrive at:
STEP 3Y = 130 × 10020
STEP 4Y = 130 × 100 ÷ 20
STEP 5Y = 650
Finally, we have found the value of Y which is 650 and that is our answer.
You can easily calculate 130 is 20 percent of what number by using any regular calculator, simply enter 130 × 100 ÷ 20 and you will get your answer which is 650
Question: Your friend has a bag of marbles, and he tells you that 20 percent of the marbles are red. If there are 130 red marbles. How many marbles does he have altogether?
Answer: 650 marbles.
How To: In this problem, we know that the Percent is 20, and we are also told that the Part of the marbles is red, so we know that the Part is 130.
So, that means that it must be the Total that's missing. Here is the way to figure out what the Total is:
PartTotal = Percent100
By using a simple algebra we can re-arrange our Percent equation like this:
Part × 100Percent = 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 130.
So step one is to just multiply that Part by 100.
130 × 100 = 13000
In step two, we take that 13000 and divide it by the "Percent", which we are told is 20.
So, 13000 divided by 20 = 650
And that means that the total number of marbles is 650.
Question: A high school marching band has 130 flute players, If 20 percent of the band members play the flute, then how many members are in the band?
Answer: There are 650 members in the band.
How To: The smaller "Part" in this problem is 130 since there are 130 flute players and we are told that they make up 20 percent of the band, so the "Percent" is 20.
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.
130 × 100 = 13000
For step two, we divide that 13000 by the "Percent", which is 20.
13000 divided by 20 equals 650
That means that the total number of band members is 650.
Step 1: Let's assume the unknown value is Y
Step 2: First writing it as: 100% / Y = 20% / 130
Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 20 / 130
Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 20 / 130 ) Y
Step 5: Simplifying the right side, we get: 100 = 20 Y
Step 6: Dividing both sides of the equation by 20, we will arrive at 650 = Y
This leaves us with our final answer: 130 is 20 percent of 650
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