#### Solution for 330 is what percent of 520:

330:520*100 =

(330*100):520 =

33000:520 = 63.46

Now we have: 330 is what percent of 520 = 63.46

Question: 330 is what percent of 520?

Percentage solution with steps:

Step 1: We make the assumption that 520 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\%}={520}.

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

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

{100\%}={520}(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{520}{330}

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

\frac{x\%}{100\%}=\frac{330}{520}

\Rightarrow{x} = {63.46\%}

Therefore, {330} is {63.46\%} of {520}.

#### Solution for 520 is what percent of 330:

520:330*100 =

(520*100):330 =

52000:330 = 157.58

Now we have: 520 is what percent of 330 = 157.58

Question: 520 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\%}={520}.

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

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

{x\%}={520}(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}{520}

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

\frac{x\%}{100\%}=\frac{520}{330}

\Rightarrow{x} = {157.58\%}

Therefore, {520} is {157.58\%} of {330}.

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