#### Solution for 423 is what percent of 766:

423:766*100 =

(423*100):766 =

42300:766 = 55.22

Now we have: 423 is what percent of 766 = 55.22

Question: 423 is what percent of 766?

Percentage solution with steps:

Step 1: We make the assumption that 766 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\%}={766}.

Step 4: In the same vein, {x\%}={423}.

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

{100\%}={766}(1).

{x\%}={423}(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{766}{423}

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

\frac{x\%}{100\%}=\frac{423}{766}

\Rightarrow{x} = {55.22\%}

Therefore, {423} is {55.22\%} of {766}.

#### Solution for 766 is what percent of 423:

766:423*100 =

(766*100):423 =

76600:423 = 181.09

Now we have: 766 is what percent of 423 = 181.09

Question: 766 is what percent of 423?

Percentage solution with steps:

Step 1: We make the assumption that 423 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\%}={423}.

Step 4: In the same vein, {x\%}={766}.

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

{100\%}={423}(1).

{x\%}={766}(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{423}{766}

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

\frac{x\%}{100\%}=\frac{766}{423}

\Rightarrow{x} = {181.09\%}

Therefore, {766} is {181.09\%} of {423}.

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