#### Solution for 48 is what percent of 298:

48:298*100 =

(48*100):298 =

4800:298 = 16.11

Now we have: 48 is what percent of 298 = 16.11

Question: 48 is what percent of 298?

Percentage solution with steps:

Step 1: We make the assumption that 298 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\%}={298}.

Step 4: In the same vein, {x\%}={48}.

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

{100\%}={298}(1).

{x\%}={48}(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{298}{48}

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

\frac{x\%}{100\%}=\frac{48}{298}

\Rightarrow{x} = {16.11\%}

Therefore, {48} is {16.11\%} of {298}.

#### Solution for 298 is what percent of 48:

298:48*100 =

(298*100):48 =

29800:48 = 620.83

Now we have: 298 is what percent of 48 = 620.83

Question: 298 is what percent of 48?

Percentage solution with steps:

Step 1: We make the assumption that 48 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\%}={48}.

Step 4: In the same vein, {x\%}={298}.

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

{100\%}={48}(1).

{x\%}={298}(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{48}{298}

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

\frac{x\%}{100\%}=\frac{298}{48}

\Rightarrow{x} = {620.83\%}

Therefore, {298} is {620.83\%} of {48}.

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