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Solution for 55 is what percent of 365:

55:365*100 =

(55*100):365 =

5500:365 = 15.07

Now we have: 55 is what percent of 365 = 15.07

Question: 55 is what percent of 365?

Percentage solution with steps:

Step 1: We make the assumption that 365 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\%}={365}.

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

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

{100\%}={365}(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{365}{55}

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

\frac{x\%}{100\%}=\frac{55}{365}

\Rightarrow{x} = {15.07\%}

Therefore, {55} is {15.07\%} of {365}.

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Solution for 365 is what percent of 55:

365:55*100 =

(365*100):55 =

36500:55 = 663.64

Now we have: 365 is what percent of 55 = 663.64

Question: 365 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\%}={365}.

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

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

{x\%}={365}(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}{365}

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

\frac{x\%}{100\%}=\frac{365}{55}

\Rightarrow{x} = {663.64\%}

Therefore, {365} is {663.64\%} of {55}.