#### Solution for 550 is what percent of 920:

550:920*100 =

(550*100):920 =

55000:920 = 59.78

Now we have: 550 is what percent of 920 = 59.78

Question: 550 is what percent of 920?

Percentage solution with steps:

Step 1: We make the assumption that 920 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\%}={920}.

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

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

{100\%}={920}(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{920}{550}

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

\frac{x\%}{100\%}=\frac{550}{920}

\Rightarrow{x} = {59.78\%}

Therefore, {550} is {59.78\%} of {920}.

#### Solution for 920 is what percent of 550:

920:550*100 =

(920*100):550 =

92000:550 = 167.27

Now we have: 920 is what percent of 550 = 167.27

Question: 920 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\%}={920}.

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

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

{x\%}={920}(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}{920}

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

\frac{x\%}{100\%}=\frac{920}{550}

\Rightarrow{x} = {167.27\%}

Therefore, {920} is {167.27\%} of {550}.

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