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Solution for 55 is what percent of 330:

55:330*100 =

(55*100):330 =

5500:330 = 16.67

Now we have: 55 is what percent of 330 = 16.67

Question: 55 is what percent of 330?

Percentage solution with steps:

Step 1: We make the assumption that 330 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\%}={330}.

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

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

{100\%}={330}(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{330}{55}

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

\frac{x\%}{100\%}=\frac{55}{330}

\Rightarrow{x} = {16.67\%}

Therefore, {55} is {16.67\%} of {330}.

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Solution for 330 is what percent of 55:

330:55*100 =

(330*100):55 =

33000:55 = 600

Now we have: 330 is what percent of 55 = 600

Question: 330 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\%}={330}.

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

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

{x\%}={330}(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}{330}

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

\frac{x\%}{100\%}=\frac{330}{55}

\Rightarrow{x} = {600\%}

Therefore, {330} is {600\%} of {55}.