#### Solution for 50 is what percent of 220:

50:220*100 =

( 50*100):220 =

5000:220 = 22.73

Now we have: 50 is what percent of 220 = 22.73

Question: 50 is what percent of 220?

Percentage solution with steps:

Step 1: We make the assumption that 220 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\%}={220}.

Step 4: In the same vein, {x\%}={ 50}.

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

{100\%}={220}(1).

{x\%}={ 50}(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{220}{ 50}

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

\frac{x\%}{100\%}=\frac{ 50}{220}

\Rightarrow{x} = {22.73\%}

Therefore, { 50} is {22.73\%} of {220}.

#### Solution for 220 is what percent of 50:

220: 50*100 =

(220*100): 50 =

22000: 50 = 440

Now we have: 220 is what percent of 50 = 440

Question: 220 is what percent of 50?

Percentage solution with steps:

Step 1: We make the assumption that 50 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\%}={ 50}.

Step 4: In the same vein, {x\%}={220}.

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

{100\%}={ 50}(1).

{x\%}={220}(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{ 50}{220}

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

\frac{x\%}{100\%}=\frac{220}{ 50}

\Rightarrow{x} = {440\%}

Therefore, {220} is {440\%} of { 50}.

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