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Solution for 105.7 is what percent of 48:

105.7:48*100 =

(105.7*100):48 =

10570:48 = 220.20833333333

Now we have: 105.7 is what percent of 48 = 220.20833333333

Question: 105.7 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\%}={105.7}.

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

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

{x\%}={105.7}(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}{105.7}

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

\frac{x\%}{100\%}=\frac{105.7}{48}

\Rightarrow{x} = {220.20833333333\%}

Therefore, {105.7} is {220.20833333333\%} of {48}.

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Solution for 48 is what percent of 105.7:

48:105.7*100 =

(48*100):105.7 =

4800:105.7 = 45.411542100284

Now we have: 48 is what percent of 105.7 = 45.411542100284

Question: 48 is what percent of 105.7?

Percentage solution with steps:

Step 1: We make the assumption that 105.7 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\%}={105.7}.

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

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

{100\%}={105.7}(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{105.7}{48}

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

\frac{x\%}{100\%}=\frac{48}{105.7}

\Rightarrow{x} = {45.411542100284\%}

Therefore, {48} is {45.411542100284\%} of {105.7}.