#### Solution for 381 is what percent of 550:

381:550*100 =

(381*100):550 =

38100:550 = 69.27

Now we have: 381 is what percent of 550 = 69.27

Question: 381 is what percent of 550?

Percentage solution with steps:

Step 1: We make the assumption that 550 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\%}={550}.

Step 4: In the same vein, {x\%}={381}.

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

{100\%}={550}(1).

{x\%}={381}(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{550}{381}

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

\frac{x\%}{100\%}=\frac{381}{550}

\Rightarrow{x} = {69.27\%}

Therefore, {381} is {69.27\%} of {550}.

#### Solution for 550 is what percent of 381:

550:381*100 =

(550*100):381 =

55000:381 = 144.36

Now we have: 550 is what percent of 381 = 144.36

Question: 550 is what percent of 381?

Percentage solution with steps:

Step 1: We make the assumption that 381 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\%}={381}.

Step 4: In the same vein, {x\%}={550}.

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

{100\%}={381}(1).

{x\%}={550}(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{381}{550}

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

\frac{x\%}{100\%}=\frac{550}{381}

\Rightarrow{x} = {144.36\%}

Therefore, {550} is {144.36\%} of {381}.

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