working with percents
- percents as multipliers are a fundamental concept, where 'is' translates to equals and 'of' signifies multiplication.
- to solve percent problems, convert the percentage to its decimal form, use variables for unknowns, and perform the necessary arithmetic operations.
- finding an unknown percent involves setting up an equation with the percent as a variable multiplier and solving for it.
- for percentages that are easily represented as fractions (e.g., 50%, 25%), converting to fractions can simplify calculations.
- practice problems are provided to reinforce the concepts and methods discussed.
solutions to the practice problems:
1) what is 60% of 60
let's translate this into a simple equation.
what --> "x" or what we are trying to find.
is --> "="
60% --> 60/100 or .6
of --> " *"
x = .6 * 60
x = 36
so all we did was multiply 0.6*60 and we get 36 as our answer.
2) 52 is 40% of what number?
is --> "="
40% --. 40/100 or .4
of --> " * "
what number --> x
52 = .4 * x
we divide both sides by 0.4 and we get x = 52/0.4 = 130
let's do a check and make sure we did everything right.
3) 18 is what percent of 45?
before we do anything math let's do a ball park. we know that half of 45 is 22.5 so without doing any math/computation we know that 50% of 45 is 22.5 so 18 is going to be less than 50>#/p###
is --> " ="
what percent --> x/100
of --> "*"
18 = (x/100) * 45
18/45 = x/100
.4 = x/100
40 = x
so 18 is 40% of 45.
notice we can simply divide 18 by 45 to get .4
.4 is 40% in decimal form.
4) what is 50% of 128? [64]
this one you're just dividing 128 by 2.
x = .5 * 128 or 128/2
128/2 = 64
