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Solution for 55 is what percent of 178:

55:178*100 =

(55*100):178 =

5500:178 = 30.9

Now we have: 55 is what percent of 178 = 30.9

Question: 55 is what percent of 178?

Percentage solution with steps:

Step 1: We make the assumption that 178 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\%}={178}.

Step 4: In the same vein, {x\%}={55}.

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

{100\%}={178}(1).

{x\%}={55}(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{178}{55}

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

\frac{x\%}{100\%}=\frac{55}{178}

\Rightarrow{x} = {30.9\%}

Therefore, {55} is {30.9\%} of {178}.

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Solution for 178 is what percent of 55:

178:55*100 =

(178*100):55 =

17800:55 = 323.64

Now we have: 178 is what percent of 55 = 323.64

Question: 178 is what percent of 55?

Percentage solution with steps:

Step 1: We make the assumption that 55 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\%}={55}.

Step 4: In the same vein, {x\%}={178}.

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

{100\%}={55}(1).

{x\%}={178}(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{55}{178}

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

\frac{x\%}{100\%}=\frac{178}{55}

\Rightarrow{x} = {323.64\%}

Therefore, {178} is {323.64\%} of {55}.