#### Solution for 338 is what percent of 520:

338:520*100 =

(338*100):520 =

33800:520 = 65

Now we have: 338 is what percent of 520 = 65

Question: 338 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\%}={338}.

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

{100\%}={520}(1).

{x\%}={338}(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}{338}

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

\frac{x\%}{100\%}=\frac{338}{520}

\Rightarrow{x} = {65\%}

Therefore, {338} is {65\%} of {520}.

#### Solution for 520 is what percent of 338:

520:338*100 =

(520*100):338 =

52000:338 = 153.85

Now we have: 520 is what percent of 338 = 153.85

Question: 520 is what percent of 338?

Percentage solution with steps:

Step 1: We make the assumption that 338 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\%}={338}.

Step 4: In the same vein, {x\%}={520}.

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

{100\%}={338}(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{338}{520}

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

\frac{x\%}{100\%}=\frac{520}{338}

\Rightarrow{x} = {153.85\%}

Therefore, {520} is {153.85\%} of {338}.

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