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Solution for 155 is what percent of 550:

155:550*100 =

(155*100):550 =

15500:550 = 28.18

Now we have: 155 is what percent of 550 = 28.18

Question: 155 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\%}={155}.

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

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

{x\%}={155}(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}{155}

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

\frac{x\%}{100\%}=\frac{155}{550}

\Rightarrow{x} = {28.18\%}

Therefore, {155} is {28.18\%} of {550}.

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Solution for 550 is what percent of 155:

550:155*100 =

(550*100):155 =

55000:155 = 354.84

Now we have: 550 is what percent of 155 = 354.84

Question: 550 is what percent of 155?

Percentage solution with steps:

Step 1: We make the assumption that 155 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\%}={155}.

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

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

{100\%}={155}(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{155}{550}

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

\frac{x\%}{100\%}=\frac{550}{155}

\Rightarrow{x} = {354.84\%}

Therefore, {550} is {354.84\%} of {155}.