Evaluate the following percent problem

40 is 80 percent (%) of what number?

Set up an equation

Let's call our missing number x.
Expressing this in terms of an equation, we get:

40 = 80% * x

Express this as a percentage

Percentage = percent number/100

40  =  80x
  100

Multiply both sides by 100

40 * 100  =  80 * 100x
  100

4000 = 80x

Divide each side by 80

4000
80
=
  
80x
80

Cancel both 80

4000
80
=
  
80x
80

x  =  4000
  80

Final Answer


40 is 80 percent (%) of 50


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Common Core State Standards In This Lesson
4.NF.C.6, 6.RP.A.3.C
What is the Answer?
40 is 80 percent (%) of 50
How does the Percentage-Decimal-Fraction Relations Calculator work?
Free Percentage-Decimal-Fraction Relations Calculator - Calculates the relational items between a fraction, a decimal (including repeating decimal and terminating decimal), a percentage, and the numerator and denominator piece of that fraction. Also calculates the percentage change going from one number to another or the amount increase or decrease of a percentage above/below a number. Round decimals. decimals into fractions
This calculator has 1 input.
What 3 formulas are used for the Percentage-Decimal-Fraction Relations Calculator?
Percent = Decimal * 100%
Decimal = Percent/100
Decimal = Numerator/Denominator
What 6 concepts are covered in the Percentage-Decimal-Fraction Relations Calculator?
decimal
Number in the form a/b where the result is not a whole number
denominator
The bottom portion of a fraction. For a/b, b is the denominator
fraction
how many parts of a certain size exist
a/b where a is the numerator and b is the denominator
numerator
the number above the line in a common fraction
percent
a specified amount in or for every hundred. one part in every hundred.
n% = n/100
percentage-decimal-fraction relations
Example calculations for the Percentage-Decimal-Fraction Relations Calculator
Percentage-Decimal-Fraction Relations Calculator Video

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