#### Solution for 158 is what percent of 398:

158:398*100 =

(158*100):398 =

15800:398 = 39.7

Now we have: 158 is what percent of 398 = 39.7

Question: 158 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\%}={158}.

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

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

{x\%}={158}(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}{158}

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

\frac{x\%}{100\%}=\frac{158}{398}

\Rightarrow{x} = {39.7\%}

Therefore, {158} is {39.7\%} of {398}.

#### Solution for 398 is what percent of 158:

398:158*100 =

(398*100):158 =

39800:158 = 251.9

Now we have: 398 is what percent of 158 = 251.9

Question: 398 is what percent of 158?

Percentage solution with steps:

Step 1: We make the assumption that 158 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\%}={158}.

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

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

{100\%}={158}(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{158}{398}

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

\frac{x\%}{100\%}=\frac{398}{158}

\Rightarrow{x} = {251.9\%}

Therefore, {398} is {251.9\%} of {158}.

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