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Solution for 205 is what percent of 48:

205:48*100 =

(205*100):48 =

20500:48 = 427.08

Now we have: 205 is what percent of 48 = 427.08

Question: 205 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\%}={205}.

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

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

{x\%}={205}(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}{205}

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

\frac{x\%}{100\%}=\frac{205}{48}

\Rightarrow{x} = {427.08\%}

Therefore, {205} is {427.08\%} of {48}.

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Solution for 48 is what percent of 205:

48:205*100 =

(48*100):205 =

4800:205 = 23.41

Now we have: 48 is what percent of 205 = 23.41

Question: 48 is what percent of 205?

Percentage solution with steps:

Step 1: We make the assumption that 205 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\%}={205}.

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

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

{100\%}={205}(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{205}{48}

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

\frac{x\%}{100\%}=\frac{48}{205}

\Rightarrow{x} = {23.41\%}

Therefore, {48} is {23.41\%} of {205}.