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Solution for 219 is what percent of 48:

219:48*100 =

(219*100):48 =

21900:48 = 456.25

Now we have: 219 is what percent of 48 = 456.25

Question: 219 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\%}={219}.

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

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

{x\%}={219}(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}{219}

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

\frac{x\%}{100\%}=\frac{219}{48}

\Rightarrow{x} = {456.25\%}

Therefore, {219} is {456.25\%} of {48}.

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Solution for 48 is what percent of 219:

48:219*100 =

(48*100):219 =

4800:219 = 21.92

Now we have: 48 is what percent of 219 = 21.92

Question: 48 is what percent of 219?

Percentage solution with steps:

Step 1: We make the assumption that 219 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\%}={219}.

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

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

{100\%}={219}(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{219}{48}

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

\frac{x\%}{100\%}=\frac{48}{219}

\Rightarrow{x} = {21.92\%}

Therefore, {48} is {21.92\%} of {219}.