#### Solution for 321 is what percent of 4138:

321:4138*100 =

(321*100):4138 =

32100:4138 = 7.76

Now we have: 321 is what percent of 4138 = 7.76

Question: 321 is what percent of 4138?

Percentage solution with steps:

Step 1: We make the assumption that 4138 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\%}={4138}.

Step 4: In the same vein, {x\%}={321}.

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

{100\%}={4138}(1).

{x\%}={321}(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{4138}{321}

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

\frac{x\%}{100\%}=\frac{321}{4138}

\Rightarrow{x} = {7.76\%}

Therefore, {321} is {7.76\%} of {4138}.

#### Solution for 4138 is what percent of 321:

4138:321*100 =

(4138*100):321 =

413800:321 = 1289.1

Now we have: 4138 is what percent of 321 = 1289.1

Question: 4138 is what percent of 321?

Percentage solution with steps:

Step 1: We make the assumption that 321 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\%}={321}.

Step 4: In the same vein, {x\%}={4138}.

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

{100\%}={321}(1).

{x\%}={4138}(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{321}{4138}

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

\frac{x\%}{100\%}=\frac{4138}{321}

\Rightarrow{x} = {1289.1\%}

Therefore, {4138} is {1289.1\%} of {321}.

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