#### Solution for 146 is what percent of 48:

146:48*100 =

(146*100):48 =

14600:48 = 304.17

Now we have: 146 is what percent of 48 = 304.17

Question: 146 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\%}={146}.

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

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

{x\%}={146}(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}{146}

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

\frac{x\%}{100\%}=\frac{146}{48}

\Rightarrow{x} = {304.17\%}

Therefore, {146} is {304.17\%} of {48}.

#### Solution for 48 is what percent of 146:

48:146*100 =

(48*100):146 =

4800:146 = 32.88

Now we have: 48 is what percent of 146 = 32.88

Question: 48 is what percent of 146?

Percentage solution with steps:

Step 1: We make the assumption that 146 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\%}={146}.

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

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

{100\%}={146}(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{146}{48}

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

\frac{x\%}{100\%}=\frac{48}{146}

\Rightarrow{x} = {32.88\%}

Therefore, {48} is {32.88\%} of {146}.

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