Respuesta :

hello!

the answer to your question is 41!

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explanation:

- Step 1: Our output value is 100.

- Step 2: We represent the unknown value with [tex]x[/tex].

- Step 3: From step 1 above, [tex]100 = 100%[/tex]%

- Step 4: Similarly, [tex]x = 41%[/tex]%

- Step 5: This results in a pair of simple equations:

[tex]100 = 100% (1)[/tex]% (1)

[tex]x=41[/tex]% (2)

- Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both  equations have the same unit (%); we have

[tex]\frac{100}{x}[/tex] = [tex]\frac{100}{41}[/tex]

- Step 7: Again, the reciprocal of both sides gives

[tex]\frac{x}{100}[/tex] = [tex]\frac{41}{100}[/tex]

Therefore, 41% of 100 is 41.

hope this helps! have a great day! :D