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Solution for 164 is what percent of 550:

164:550*100 =

(164*100):550 =

16400:550 = 29.82

Now we have: 164 is what percent of 550 = 29.82

Question: 164 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\%}={164}.

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

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

{x\%}={164}(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}{164}

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

\frac{x\%}{100\%}=\frac{164}{550}

\Rightarrow{x} = {29.82\%}

Therefore, {164} is {29.82\%} of {550}.

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Solution for 550 is what percent of 164:

550:164*100 =

(550*100):164 =

55000:164 = 335.37

Now we have: 550 is what percent of 164 = 335.37

Question: 550 is what percent of 164?

Percentage solution with steps:

Step 1: We make the assumption that 164 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\%}={164}.

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

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

{100\%}={164}(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{164}{550}

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

\frac{x\%}{100\%}=\frac{550}{164}

\Rightarrow{x} = {335.37\%}

Therefore, {550} is {335.37\%} of {164}.