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Solution for 357.5 is what percent of 55:

357.5:55*100 =

(357.5*100):55 =

35750:55 = 650

Now we have: 357.5 is what percent of 55 = 650

Question: 357.5 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\%}={357.5}.

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

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

{x\%}={357.5}(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}{357.5}

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

\frac{x\%}{100\%}=\frac{357.5}{55}

\Rightarrow{x} = {650\%}

Therefore, {357.5} is {650\%} of {55}.

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Solution for 55 is what percent of 357.5:

55:357.5*100 =

(55*100):357.5 =

5500:357.5 = 15.384615384615

Now we have: 55 is what percent of 357.5 = 15.384615384615

Question: 55 is what percent of 357.5?

Percentage solution with steps:

Step 1: We make the assumption that 357.5 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\%}={357.5}.

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

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

{100\%}={357.5}(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{357.5}{55}

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

\frac{x\%}{100\%}=\frac{55}{357.5}

\Rightarrow{x} = {15.384615384615\%}

Therefore, {55} is {15.384615384615\%} of {357.5}.