#### Solution for 138 is what percent of 365:

138:365*100 =

(138*100):365 =

13800:365 = 37.81

Now we have: 138 is what percent of 365 = 37.81

Question: 138 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\%}={138}.

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

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

{x\%}={138}(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}{138}

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

\frac{x\%}{100\%}=\frac{138}{365}

\Rightarrow{x} = {37.81\%}

Therefore, {138} is {37.81\%} of {365}.

#### Solution for 365 is what percent of 138:

365:138*100 =

(365*100):138 =

36500:138 = 264.49

Now we have: 365 is what percent of 138 = 264.49

Question: 365 is what percent of 138?

Percentage solution with steps:

Step 1: We make the assumption that 138 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\%}={138}.

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

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

{100\%}={138}(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{138}{365}

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

\frac{x\%}{100\%}=\frac{365}{138}

\Rightarrow{x} = {264.49\%}

Therefore, {365} is {264.49\%} of {138}.

Calculation Samples