#### Solution for 35 is what percent of 476:

35:476*100 =

(35*100):476 =

3500:476 = 7.35

Now we have: 35 is what percent of 476 = 7.35

Question: 35 is what percent of 476?

Percentage solution with steps:

Step 1: We make the assumption that 476 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\%}={476}.

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

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

{100\%}={476}(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{476}{35}

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

\frac{x\%}{100\%}=\frac{35}{476}

\Rightarrow{x} = {7.35\%}

Therefore, {35} is {7.35\%} of {476}.

#### Solution for 476 is what percent of 35:

476:35*100 =

(476*100):35 =

47600:35 = 1360

Now we have: 476 is what percent of 35 = 1360

Question: 476 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\%}={476}.

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

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

{x\%}={476}(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}{476}

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

\frac{x\%}{100\%}=\frac{476}{35}

\Rightarrow{x} = {1360\%}

Therefore, {476} is {1360\%} of {35}.

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