#### Solution for 442 is what percent of 535:

442:535*100 =

(442*100):535 =

44200:535 = 82.62

Now we have: 442 is what percent of 535 = 82.62

Question: 442 is what percent of 535?

Percentage solution with steps:

Step 1: We make the assumption that 535 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\%}={535}.

Step 4: In the same vein, {x\%}={442}.

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

{100\%}={535}(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{535}{442}

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

\frac{x\%}{100\%}=\frac{442}{535}

\Rightarrow{x} = {82.62\%}

Therefore, {442} is {82.62\%} of {535}.

#### Solution for 535 is what percent of 442:

535:442*100 =

(535*100):442 =

53500:442 = 121.04

Now we have: 535 is what percent of 442 = 121.04

Question: 535 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\%}={535}.

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

{100\%}={442}(1).

{x\%}={535}(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}{535}

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

\frac{x\%}{100\%}=\frac{535}{442}

\Rightarrow{x} = {121.04\%}

Therefore, {535} is {121.04\%} of {442}.

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