#### Solution for 35 is what percent of 80:

35: 80*100 =

(35*100): 80 =

3500: 80 = 43.75

Now we have: 35 is what percent of 80 = 43.75

Question: 35 is what percent of 80?

Percentage solution with steps:

Step 1: We make the assumption that 80 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\%}={ 80}.

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

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

{100\%}={ 80}(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{ 80}{35}

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

\frac{x\%}{100\%}=\frac{35}{ 80}

\Rightarrow{x} = {43.75\%}

Therefore, {35} is {43.75\%} of { 80}.

#### Solution for 80 is what percent of 35:

80:35*100 =

( 80*100):35 =

8000:35 = 228.57

Now we have: 80 is what percent of 35 = 228.57

Question: 80 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\%}={ 80}.

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

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

{x\%}={ 80}(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}{ 80}

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

\frac{x\%}{100\%}=\frac{ 80}{35}

\Rightarrow{x} = {228.57\%}

Therefore, { 80} is {228.57\%} of {35}.

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