shadowboy13 said:Homework Statement
If ##a+2b## is equal to ##125\%## of ##4b##, what is the value of ##a/b## ##?##
Homework Equations
Shown above.
The Attempt at a Solution
The only knowledge you really need to solve this problem is to know that ##100## is the basis of percentages, after that the problem can numerically be solved relatively easily.
To calculate a percentage, divide the part by the whole and multiply by 100. For example, if you want to find 25% of 80, you would divide 25 by 100 and then multiply it by 80. The answer would be 20.
The formula for finding the percentage increase or decrease is ((new value - old value) / old value) * 100. For example, if the original value was 50 and the new value is 75, the percentage increase would be ((75 - 50) / 50) * 100 = 50%.
Yes, percentages can be greater than 100%. This is often seen in cases where a value has increased by more than 100%, resulting in a percentage greater than 100%. For example, if a stock's value increased from $10 to $25, the percentage increase would be ((25 - 10) / 10) * 100 = 150%.
To convert a decimal to a percentage, multiply the decimal by 100. For example, if you have a decimal of 0.25, you would multiply it by 100 to get 25%. This is because a percentage is just a way of expressing a part of a whole, and multiplying by 100 helps to convert it into a more recognizable form.
There is no difference between a percentage and a percent. They are both ways of expressing a part of a whole in terms of 100. In fact, "percent" is just the shortened form of "percentage". Both terms can be used interchangeably.