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Solution for 300 is what percent of 642:

300:642*100 =

(300*100):642 =

30000:642 = 46.73

Now we have: 300 is what percent of 642 = 46.73

Question: 300 is what percent of 642?

Percentage solution with steps:

Step 1: We make the assumption that 642 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\%}={642}.

Step 4: In the same vein, {x\%}={300}.

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

{100\%}={642}(1).

{x\%}={300}(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{642}{300}

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

\frac{x\%}{100\%}=\frac{300}{642}

\Rightarrow{x} = {46.73\%}

Therefore, {300} is {46.73\%} of {642}.

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Solution for 642 is what percent of 300:

642:300*100 =

(642*100):300 =

64200:300 = 214

Now we have: 642 is what percent of 300 = 214

Question: 642 is what percent of 300?

Percentage solution with steps:

Step 1: We make the assumption that 300 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\%}={300}.

Step 4: In the same vein, {x\%}={642}.

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

{100\%}={300}(1).

{x\%}={642}(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{300}{642}

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

\frac{x\%}{100\%}=\frac{642}{300}

\Rightarrow{x} = {214\%}

Therefore, {642} is {214\%} of {300}.