#### Solution for 85 is what percent of 365:

85:365*100 =

(85*100):365 =

8500:365 = 23.29

Now we have: 85 is what percent of 365 = 23.29

Question: 85 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\%}={85}.

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

{100\%}={365}(1).

{x\%}={85}(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}{85}

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

\frac{x\%}{100\%}=\frac{85}{365}

\Rightarrow{x} = {23.29\%}

Therefore, {85} is {23.29\%} of {365}.

#### Solution for 365 is what percent of 85:

365:85*100 =

(365*100):85 =

36500:85 = 429.41

Now we have: 365 is what percent of 85 = 429.41

Question: 365 is what percent of 85?

Percentage solution with steps:

Step 1: We make the assumption that 85 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\%}={85}.

Step 4: In the same vein, {x\%}={365}.

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

{100\%}={85}(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{85}{365}

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

\frac{x\%}{100\%}=\frac{365}{85}

\Rightarrow{x} = {429.41\%}

Therefore, {365} is {429.41\%} of {85}.

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