#### Solution for 359 is what percent of 459:

359:459*100 =

(359*100):459 =

35900:459 = 78.21

Now we have: 359 is what percent of 459 = 78.21

Question: 359 is what percent of 459?

Percentage solution with steps:

Step 1: We make the assumption that 459 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\%}={459}.

Step 4: In the same vein, {x\%}={359}.

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

{100\%}={459}(1).

{x\%}={359}(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{459}{359}

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

\frac{x\%}{100\%}=\frac{359}{459}

\Rightarrow{x} = {78.21\%}

Therefore, {359} is {78.21\%} of {459}.

#### Solution for 459 is what percent of 359:

459:359*100 =

(459*100):359 =

45900:359 = 127.86

Now we have: 459 is what percent of 359 = 127.86

Question: 459 is what percent of 359?

Percentage solution with steps:

Step 1: We make the assumption that 359 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\%}={359}.

Step 4: In the same vein, {x\%}={459}.

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

{100\%}={359}(1).

{x\%}={459}(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{359}{459}

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

\frac{x\%}{100\%}=\frac{459}{359}

\Rightarrow{x} = {127.86\%}

Therefore, {459} is {127.86\%} of {359}.

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