#### Solution for 498 is what percent of 1397:

498:1397*100 =

(498*100):1397 =

49800:1397 = 35.65

Now we have: 498 is what percent of 1397 = 35.65

Question: 498 is what percent of 1397?

Percentage solution with steps:

Step 1: We make the assumption that 1397 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\%}={1397}.

Step 4: In the same vein, {x\%}={498}.

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

{100\%}={1397}(1).

{x\%}={498}(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{1397}{498}

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

\frac{x\%}{100\%}=\frac{498}{1397}

\Rightarrow{x} = {35.65\%}

Therefore, {498} is {35.65\%} of {1397}.

#### Solution for 1397 is what percent of 498:

1397:498*100 =

(1397*100):498 =

139700:498 = 280.52

Now we have: 1397 is what percent of 498 = 280.52

Question: 1397 is what percent of 498?

Percentage solution with steps:

Step 1: We make the assumption that 498 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\%}={498}.

Step 4: In the same vein, {x\%}={1397}.

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

{100\%}={498}(1).

{x\%}={1397}(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{498}{1397}

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

\frac{x\%}{100\%}=\frac{1397}{498}

\Rightarrow{x} = {280.52\%}

Therefore, {1397} is {280.52\%} of {498}.

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