#### Solution for 53 is what percent of 330:

53:330*100 =

(53*100):330 =

5300:330 = 16.06

Now we have: 53 is what percent of 330 = 16.06

Question: 53 is what percent of 330?

Percentage solution with steps:

Step 1: We make the assumption that 330 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\%}={330}.

Step 4: In the same vein, {x\%}={53}.

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

{100\%}={330}(1).

{x\%}={53}(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{330}{53}

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

\frac{x\%}{100\%}=\frac{53}{330}

\Rightarrow{x} = {16.06\%}

Therefore, {53} is {16.06\%} of {330}.

#### Solution for 330 is what percent of 53:

330:53*100 =

(330*100):53 =

33000:53 = 622.64

Now we have: 330 is what percent of 53 = 622.64

Question: 330 is what percent of 53?

Percentage solution with steps:

Step 1: We make the assumption that 53 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\%}={53}.

Step 4: In the same vein, {x\%}={330}.

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

{100\%}={53}(1).

{x\%}={330}(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{53}{330}

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

\frac{x\%}{100\%}=\frac{330}{53}

\Rightarrow{x} = {622.64\%}

Therefore, {330} is {622.64\%} of {53}.

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