#### Solution for 290 is what percent of 398:

290:398*100 =

(290*100):398 =

29000:398 = 72.86

Now we have: 290 is what percent of 398 = 72.86

Question: 290 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\%}={290}.

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

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

{x\%}={290}(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}{290}

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

\frac{x\%}{100\%}=\frac{290}{398}

\Rightarrow{x} = {72.86\%}

Therefore, {290} is {72.86\%} of {398}.

#### Solution for 398 is what percent of 290:

398:290*100 =

(398*100):290 =

39800:290 = 137.24

Now we have: 398 is what percent of 290 = 137.24

Question: 398 is what percent of 290?

Percentage solution with steps:

Step 1: We make the assumption that 290 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\%}={290}.

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

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

{100\%}={290}(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{290}{398}

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

\frac{x\%}{100\%}=\frac{398}{290}

\Rightarrow{x} = {137.24\%}

Therefore, {398} is {137.24\%} of {290}.

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