#### Solution for 367 is what percent of 2552:

367:2552*100 =

(367*100):2552 =

36700:2552 = 14.38

Now we have: 367 is what percent of 2552 = 14.38

Question: 367 is what percent of 2552?

Percentage solution with steps:

Step 1: We make the assumption that 2552 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\%}={2552}.

Step 4: In the same vein, {x\%}={367}.

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

{100\%}={2552}(1).

{x\%}={367}(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{2552}{367}

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

\frac{x\%}{100\%}=\frac{367}{2552}

\Rightarrow{x} = {14.38\%}

Therefore, {367} is {14.38\%} of {2552}.

#### Solution for 2552 is what percent of 367:

2552:367*100 =

(2552*100):367 =

255200:367 = 695.37

Now we have: 2552 is what percent of 367 = 695.37

Question: 2552 is what percent of 367?

Percentage solution with steps:

Step 1: We make the assumption that 367 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\%}={367}.

Step 4: In the same vein, {x\%}={2552}.

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

{100\%}={367}(1).

{x\%}={2552}(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{367}{2552}

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

\frac{x\%}{100\%}=\frac{2552}{367}

\Rightarrow{x} = {695.37\%}

Therefore, {2552} is {695.37\%} of {367}.

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