#### Solution for 67 is what percent of 403:

67:403*100 =

(67*100):403 =

6700:403 = 16.63

Now we have: 67 is what percent of 403 = 16.63

Question: 67 is what percent of 403?

Percentage solution with steps:

Step 1: We make the assumption that 403 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\%}={403}.

Step 4: In the same vein, {x\%}={67}.

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

{100\%}={403}(1).

{x\%}={67}(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{403}{67}

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

\frac{x\%}{100\%}=\frac{67}{403}

\Rightarrow{x} = {16.63\%}

Therefore, {67} is {16.63\%} of {403}.

#### Solution for 403 is what percent of 67:

403:67*100 =

(403*100):67 =

40300:67 = 601.49

Now we have: 403 is what percent of 67 = 601.49

Question: 403 is what percent of 67?

Percentage solution with steps:

Step 1: We make the assumption that 67 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\%}={67}.

Step 4: In the same vein, {x\%}={403}.

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

{100\%}={67}(1).

{x\%}={403}(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{67}{403}

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

\frac{x\%}{100\%}=\frac{403}{67}

\Rightarrow{x} = {601.49\%}

Therefore, {403} is {601.49\%} of {67}.

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