32 is 40 percent of what number

40 percent means 0.40 32 = 0.4 x Divide each side by 0.4 : X = 32 / 0.4 X = 80.

80

Further explanation

Given:

32 is 40 percent of what number?

The Process:

Let N as the number asked.

The mathematical equation of the question sentence represents as follows:

[tex]\boxed{ \ 32 = 40 \% \times N \ }[/tex]

Which can be rewritten to be

[tex]\boxed{ \ 40 \% \times N = 32 \ }[/tex]

All we have to do to get the N value is a division operation.

[tex]\boxed{ \ If \ a \times b = c, \ then \ a = c \div b \ or \ b = c \div a \ }[/tex]

[tex]\boxed{ \ If \ a \times b = c \ then \ a = \frac{c}{b} \ or \ b = \frac{c}{a} \ }[/tex]

[tex]\boxed{ \ 40 \% \times N = 32 \ }[/tex]

[tex]\boxed{ \ N = 32 \div 40 \% \ }[/tex]

Recall that [tex]\boxed{ \ 40 \% = \frac{40}{100} \ }[/tex]

[tex]\boxed{ \ N = 32 \div \frac{40}{100} \ }[/tex] ... Equation-1

Recall that [tex]\boxed{ \ a \div \frac{b}{c} \rightarrow a \times \frac{c}{b} \ }[/tex]

[tex]\boxed{ \ N = 32 \times \frac{100}{40} \ }[/tex] ... Equation-2

Both 100 and 40 divided by 10 to make it simpler.

[tex]\boxed{ \ N = 32 \times \frac{10}{4} \ }[/tex]

32 is crossed out with 4, in other words dividing each other.

[tex]\boxed{ \ N = 8 \times 10 \ }[/tex]

Thus, the result is [tex]\boxed{\boxed{ \ N = 80 \ }}[/tex]

Alternative-1:

Recall that [tex]\boxed{ \ \frac{40}{100} = 0.40 = 0.4 \ }[/tex]

From Equation-1 above, we rearrange it into

[tex]\boxed{ \ N = \frac{32}{0.4} \ }[/tex]

Both the numerator and denominator are multiplied by 10.

[tex]\boxed{ \ N = \frac{320}{4} \ }[/tex]

Thus, the result is [tex]\boxed{\boxed{ \ N = 80 \ }}[/tex]

Alternative-2:

From Equation-2 above, both 100 and 40 are divided by 20.

[tex]\boxed{ \ N = 32 \times \frac{5}{2} \ }[/tex]

32 is crossed out with 2, in other words dividing each other.

[tex]\boxed{ \ N = 16 \times 5 \ }[/tex]

Thus, the result is [tex]\boxed{\boxed{ \ N = 80 \ }}[/tex]

Alternative-3:

[tex]\boxed{ \ 40 \% \times N = 32 \ }[/tex]

Both sides are multiplied by [tex]\boxed{ \ \frac{100}{40} \ }[/tex]

[tex]\boxed{ \ N = 32 \times \frac{100}{40} \ }[/tex]

[tex]\boxed{ \ N = 32 \times \frac{10}{4} \ }[/tex]

[tex]\boxed{ \ N = 32 \times \frac{5}{2} \ }[/tex]

[tex]\boxed{ \ N = 16 \times 5 \ }[/tex]

Thus, the result is [tex]\boxed{\boxed{ \ N = 80 \ }}[/tex]

Learn more

1. 100 is ¹/₁₀ of what? brainly.com/question/96535
2. 4 times as much as 3 is https://brainly.com/question/573729
3. 68.32 divided by 2.8 is divisible  https://brainly.com/question/5022643#

Keywords: 32 is 40 percent of what number, a division operation, fraction, multiply, 80, decimals, alternative steps, the mathematical equation