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Solution for 243 is what percent of 48:

243:48*100 =

(243*100):48 =

24300:48 = 506.25

Now we have: 243 is what percent of 48 = 506.25

Question: 243 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\%}={243}.

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

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

{x\%}={243}(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}{243}

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

\frac{x\%}{100\%}=\frac{243}{48}

\Rightarrow{x} = {506.25\%}

Therefore, {243} is {506.25\%} of {48}.

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Solution for 48 is what percent of 243:

48:243*100 =

(48*100):243 =

4800:243 = 19.75

Now we have: 48 is what percent of 243 = 19.75

Question: 48 is what percent of 243?

Percentage solution with steps:

Step 1: We make the assumption that 243 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\%}={243}.

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

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

{100\%}={243}(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{243}{48}

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

\frac{x\%}{100\%}=\frac{48}{243}

\Rightarrow{x} = {19.75\%}

Therefore, {48} is {19.75\%} of {243}.