#### Solution for 35 is what percent of 257:

35:257*100 =

(35*100):257 =

3500:257 = 13.62

Now we have: 35 is what percent of 257 = 13.62

Question: 35 is what percent of 257?

Percentage solution with steps:

Step 1: We make the assumption that 257 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\%}={257}.

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

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

{100\%}={257}(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{257}{35}

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

\frac{x\%}{100\%}=\frac{35}{257}

\Rightarrow{x} = {13.62\%}

Therefore, {35} is {13.62\%} of {257}.

#### Solution for 257 is what percent of 35:

257:35*100 =

(257*100):35 =

25700:35 = 734.29

Now we have: 257 is what percent of 35 = 734.29

Question: 257 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\%}={257}.

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

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

{x\%}={257}(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}{257}

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

\frac{x\%}{100\%}=\frac{257}{35}

\Rightarrow{x} = {734.29\%}

Therefore, {257} is {734.29\%} of {35}.

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