#### Solution for 427 is what percent of 460:

427:460*100 =

(427*100):460 =

42700:460 = 92.83

Now we have: 427 is what percent of 460 = 92.83

Question: 427 is what percent of 460?

Percentage solution with steps:

Step 1: We make the assumption that 460 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\%}={460}.

Step 4: In the same vein, {x\%}={427}.

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

{100\%}={460}(1).

{x\%}={427}(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{460}{427}

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

\frac{x\%}{100\%}=\frac{427}{460}

\Rightarrow{x} = {92.83\%}

Therefore, {427} is {92.83\%} of {460}.

#### Solution for 460 is what percent of 427:

460:427*100 =

(460*100):427 =

46000:427 = 107.73

Now we have: 460 is what percent of 427 = 107.73

Question: 460 is what percent of 427?

Percentage solution with steps:

Step 1: We make the assumption that 427 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\%}={427}.

Step 4: In the same vein, {x\%}={460}.

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

{100\%}={427}(1).

{x\%}={460}(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{427}{460}

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

\frac{x\%}{100\%}=\frac{460}{427}

\Rightarrow{x} = {107.73\%}

Therefore, {460} is {107.73\%} of {427}.

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