#### Solution for 361 is what percent of 460:

361:460*100 =

(361*100):460 =

36100:460 = 78.48

Now we have: 361 is what percent of 460 = 78.48

Question: 361 is what percent of 460?

Percentage solution with steps:

Step 1: We make the assumption that 460 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\%}={460}.

Step 4: In the same vein, {x\%}={361}.

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

{100\%}={460}(1).

{x\%}={361}(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{460}{361}

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

\frac{x\%}{100\%}=\frac{361}{460}

\Rightarrow{x} = {78.48\%}

Therefore, {361} is {78.48\%} of {460}.

#### Solution for 460 is what percent of 361:

460:361*100 =

(460*100):361 =

46000:361 = 127.42

Now we have: 460 is what percent of 361 = 127.42

Question: 460 is what percent of 361?

Percentage solution with steps:

Step 1: We make the assumption that 361 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\%}={361}.

Step 4: In the same vein, {x\%}={460}.

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

{100\%}={361}(1).

{x\%}={460}(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{361}{460}

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

\frac{x\%}{100\%}=\frac{460}{361}

\Rightarrow{x} = {127.42\%}

Therefore, {460} is {127.42\%} of {361}.

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