#### Solution for 520 is what percent of 442:

520:442*100 =

(520*100):442 =

52000:442 = 117.65

Now we have: 520 is what percent of 442 = 117.65

Question: 520 is what percent of 442?

Percentage solution with steps:

Step 1: We make the assumption that 442 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\%}={442}.

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

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

{100\%}={442}(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{442}{520}

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

\frac{x\%}{100\%}=\frac{520}{442}

\Rightarrow{x} = {117.65\%}

Therefore, {520} is {117.65\%} of {442}.

#### Solution for 442 is what percent of 520:

442:520*100 =

(442*100):520 =

44200:520 = 85

Now we have: 442 is what percent of 520 = 85

Question: 442 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\%}={442}.

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

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

{x\%}={442}(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}{442}

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

\frac{x\%}{100\%}=\frac{442}{520}

\Rightarrow{x} = {85\%}

Therefore, {442} is {85\%} of {520}.

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