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Solution for 105 is what percent of 550:

105:550*100 =

(105*100):550 =

10500:550 = 19.09

Now we have: 105 is what percent of 550 = 19.09

Question: 105 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\%}={105}.

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

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

{x\%}={105}(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}{105}

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

\frac{x\%}{100\%}=\frac{105}{550}

\Rightarrow{x} = {19.09\%}

Therefore, {105} is {19.09\%} of {550}.

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Solution for 550 is what percent of 105:

550:105*100 =

(550*100):105 =

55000:105 = 523.81

Now we have: 550 is what percent of 105 = 523.81

Question: 550 is what percent of 105?

Percentage solution with steps:

Step 1: We make the assumption that 105 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\%}={105}.

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

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

{100\%}={105}(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{105}{550}

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

\frac{x\%}{100\%}=\frac{550}{105}

\Rightarrow{x} = {523.81\%}

Therefore, {550} is {523.81\%} of {105}.