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Solution for 424 is what percent of 82:

424:82*100 =

(424*100):82 =

42400:82 = 517.07

Now we have: 424 is what percent of 82 = 517.07

Question: 424 is what percent of 82?

Percentage solution with steps:

Step 1: We make the assumption that 82 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\%}={82}.

Step 4: In the same vein, {x\%}={424}.

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

{100\%}={82}(1).

{x\%}={424}(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{82}{424}

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

\frac{x\%}{100\%}=\frac{424}{82}

\Rightarrow{x} = {517.07\%}

Therefore, {424} is {517.07\%} of {82}.

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Solution for 82 is what percent of 424:

82:424*100 =

(82*100):424 =

8200:424 = 19.34

Now we have: 82 is what percent of 424 = 19.34

Question: 82 is what percent of 424?

Percentage solution with steps:

Step 1: We make the assumption that 424 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\%}={424}.

Step 4: In the same vein, {x\%}={82}.

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

{100\%}={424}(1).

{x\%}={82}(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{424}{82}

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

\frac{x\%}{100\%}=\frac{82}{424}

\Rightarrow{x} = {19.34\%}

Therefore, {82} is {19.34\%} of {424}.