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Solution for 100 is what percent of 398:

100:398*100 =

(100*100):398 =

10000:398 = 25.13

Now we have: 100 is what percent of 398 = 25.13

Question: 100 is what percent of 398?

Percentage solution with steps:

Step 1: We make the assumption that 398 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\%}={398}.

Step 4: In the same vein, {x\%}={100}.

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

{100\%}={398}(1).

{x\%}={100}(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{398}{100}

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

\frac{x\%}{100\%}=\frac{100}{398}

\Rightarrow{x} = {25.13\%}

Therefore, {100} is {25.13\%} of {398}.

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Solution for 398 is what percent of 100:

398:100*100 =

(398*100):100 =

39800:100 = 398

Now we have: 398 is what percent of 100 = 398

Question: 398 is what percent of 100?

Percentage solution with steps:

Step 1: We make the assumption that 100 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\%}={100}.

Step 4: In the same vein, {x\%}={398}.

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

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

{x\%}={398}(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{100}{398}

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

\frac{x\%}{100\%}=\frac{398}{100}

\Rightarrow{x} = {398\%}

Therefore, {398} is {398\%} of {100}.