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What number is 43 [tex]$31 \%$[/tex] of?

Sagot :

To determine what number 43 is 31% of, let's perform the following steps:

1. Convert the percentage to a decimal:
The percentage given is 31%. To convert this to a decimal, we divide by 100:

[tex]\[ 31\% = \frac{31}{100} = 0.31 \][/tex]

2. Set up the equation:
Let [tex]\( x \)[/tex] be the unknown whole number that we are trying to find. According to the problem, 43 is 31% of [tex]\( x \)[/tex]. In mathematical terms, this can be written as:

[tex]\[ 0.31x = 43 \][/tex]

3. Solve for [tex]\( x \)[/tex]:
To isolate [tex]\( x \)[/tex], we divide both sides of the equation by 0.31:

[tex]\[ x = \frac{43}{0.31} \][/tex]

4. Calculate the result:
Performing the division gives:

[tex]\[ x \approx 138.70967741935485 \][/tex]

So, 43 is approximately 31% of 138.71.