#### Solution for 427 is what percent of 1500:

427:1500*100 =

(427*100):1500 =

42700:1500 = 28.47

Now we have: 427 is what percent of 1500 = 28.47

Question: 427 is what percent of 1500?

Percentage solution with steps:

Step 1: We make the assumption that 1500 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\%}={1500}.

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

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

{100\%}={1500}(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{1500}{427}

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

\frac{x\%}{100\%}=\frac{427}{1500}

\Rightarrow{x} = {28.47\%}

Therefore, {427} is {28.47\%} of {1500}.

#### Solution for 1500 is what percent of 427:

1500:427*100 =

(1500*100):427 =

150000:427 = 351.29

Now we have: 1500 is what percent of 427 = 351.29

Question: 1500 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\%}={1500}.

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

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

{x\%}={1500}(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}{1500}

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

\frac{x\%}{100\%}=\frac{1500}{427}

\Rightarrow{x} = {351.29\%}

Therefore, {1500} is {351.29\%} of {427}.

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