#### Solution for 35 is what percent of 40:

35:40*100 =

( 35*100):40 =

3500:40 = 87.5

Now we have: 35 is what percent of 40 = 87.5

Question: 35 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={40}.

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

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

{100\%}={40}(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{40}{ 35}

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

\frac{x\%}{100\%}=\frac{ 35}{40}

\Rightarrow{x} = {87.5\%}

Therefore, { 35} is {87.5\%} of {40}.

#### Solution for 40 is what percent of 35:

40: 35*100 =

(40*100): 35 =

4000: 35 = 114.29

Now we have: 40 is what percent of 35 = 114.29

Question: 40 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\%}={40}.

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

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

{x\%}={40}(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}{40}

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

\frac{x\%}{100\%}=\frac{40}{ 35}

\Rightarrow{x} = {114.29\%}

Therefore, {40} is {114.29\%} of { 35}.

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