#### Solution for 41 is what percent of 35:

41:35*100 =

( 41*100):35 =

4100:35 = 117.14

Now we have: 41 is what percent of 35 = 117.14

Question: 41 is what percent of 35?

Percentage solution with steps:

Step 1: We make the assumption that 35 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={35}.

Step 4: In the same vein, {x\%}={ 41}.

Step 5: This gives us a pair of simple equations:

{100\%}={35}(1).

{x\%}={ 41}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{35}{ 41}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{ 41}{35}

\Rightarrow{x} = {117.14\%}

Therefore, { 41} is {117.14\%} of {35}.

#### Solution for 35 is what percent of 41:

35: 41*100 =

(35*100): 41 =

3500: 41 = 85.37

Now we have: 35 is what percent of 41 = 85.37

Question: 35 is what percent of 41?

Percentage solution with steps:

Step 1: We make the assumption that 41 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={ 41}.

Step 4: In the same vein, {x\%}={35}.

Step 5: This gives us a pair of simple equations:

{100\%}={ 41}(1).

{x\%}={35}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{ 41}{35}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{35}{ 41}

\Rightarrow{x} = {85.37\%}

Therefore, {35} is {85.37\%} of { 41}.

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