Question: Your friend has a bag of marbles, and he tells you that 30 percent of the marbles are red. If there are 225 red marbles. How many marbles does he have altogether? Answer: 750 marbles. How To: In this problem, we know that the Percent is 30, and we are also told that the Part of the marbles is red, so we know that the Part is 225. 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 225. So step one is to just multiply that Part by 100. 225 × 100 = 22500 In step two, we take that 22500 and divide it by the "Percent", which we are told is 30. So, 22500 divided by 30 = 750 And that means that the total number of marbles is 750. Question: A high school marching band has 225 flute players, If 30 percent of the band members play the flute, then how many members are in the band? Answer: There are 750 members in the band. How To: The smaller "Part" in this problem is 225 since there are 225 flute players and we are told that they make up 30 percent of the band, so the "Percent" is 30. 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. 225 × 100 = 22500 For step two, we divide that 22500 by the "Percent", which is 30. 22500 divided by 30 equals 750 That means that the total number of band members is 750. Another step by step methodStep 1: Let's assume the unknown value is Y Step 2: First writing it as: 100% / Y = 30% / 225 Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 30 / 225 Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 30 / 225 ) Y Step 5: Simplifying the right side, we get: 100 = 30 Y Step 6: Dividing both sides of the equation by 30, we will arrive at 750 = Y This leaves us with our final answer: 225 is 30 percent of 750 What is 30 percent of 225?
67.5 30 percent of 225 is the same as 30 per hundred of 225. We can therefore make the following equation: 30/100 = X/225 To solve the equation above for X, you first switch the sides to get the X on the left side, then you multiply each side by 225, and then finally divide the numerator by the denominator on the right side to get the answer. Here is the work to illustrate: 30/100 = X/225 X/225 = 30/100 X*225/225 = 30*225/100 X = 6750/100 X = 67.5 The work above shows the long way to explain how to calculate 30 percent of 225 in order to give you a foundation and better understanding of how to calculate percentage. In the future, you could use this simplified formula: (Y * P)/100 In our problem "What is 30 percent of 225?", Y is 225 and P is 30: (225 * 30)/100 = 67.5 And once again you see that the answer is 67.5.Percent of Calculator Enter another percent and number for us to calculate: What is 30 percent of 226? Want to learn more? Here is the next problem on our list. Copyright | Privacy Policy | Disclaimer | ContactMenu 30% of what number = 225?'Percent (%)' means 'out of one hundred':30% = 30 'out of one hundred',p% is read p 'percent',p% = p/100 = p ÷ 10030% = 30/100 = 30 ÷ 100 = 0.3100% = 100/100 = 100 ÷ 100 = 130% of what number = 225... is equivalent to multiplying them:30% × number = 225Let y be the number that we have to calculate.30% × y = 225 =>y =225 ÷ 30% =225 ÷ (30 ÷ 100) =(100 × 225) ÷ 30 =22,500 ÷ 30 =750We carry out the reverse operation:If 30% × 750 = 225 =>Divide 225 by 750...... And see if we get as a result: 30%Multiply a number by the fraction 100/100, |