Solve the following: 56 is ______% of 125
What number is 45% of 680?
Solve the following: 315 is 126% of
If a number increases from 47 to 70.5, what is the rate of increase?
56 = x*125
x = 56/125 = 0.448 or 44.8%
45% = .45, so
.45*680 = 306
125% = 1.25, so
315 = 1.25x
x = 315/1.25 = 252
% increase is the change divided by the initial value, so we have
(70.5-47)/47 = .5 or a 50% increase
To solve the questions, we'll use basic percentage calculations. Percentage is a way to express a portion of a whole number.
For the first question, "56 is ______% of 125," we can solve it by setting up a proportion:
Let "x" be the missing percentage we need to find.
56 is to 125 as x% is to 100%. This can be written as the equation:
56/125 = x/100
To solve for x, cross-multiply:
56 * 100 = 125 * x
5,600 = 125x
Divide both sides by 125:
x = 5,600/125
x = 44.8
So, 56 is 44.8% of 125.
Now, let's move onto the second question, "What number is 45% of 680?"
To find the number, we can use the formula:
Percentage × Whole Number = Part
Let "x" be the unknown number.
45% of 680 is expressed as:
45/100 * 680 = x
To solve this equation, multiply:
(45/100) * 680 = x
306 = x
Therefore, 45% of 680 is 306.
Next, for the question "315 is 126% of _______," we need to find the missing number.
Let "x" be the unknown number.
126% of "x" is expressed as:
(x * 126) / 100 = 315
To solve for "x," we cross-multiply:
126x = 315 * 100
126x = 31,500
Divide both sides by 126:
x = 31,500 / 126
x = 250
Therefore, 315 is 126% of 250.
Lastly, for the rate of increase question, "If a number increases from 47 to 70.5, what is the rate of increase?"
The rate of increase is calculated by finding the difference between the two numbers and expressing it as a percentage of the initial number.
To find the rate of increase, use the formula:
Rate of Increase = (Final Value - Initial Value) / Initial Value * 100
Plug in the numbers:
Rate of Increase = (70.5 - 47) / 47 * 100
Rate of Increase = 23.5 / 47 * 100
Rate of Increase = 0.5 * 100
Rate of Increase = 50%
Therefore, the rate of increase is 50%.