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Solution for 220 is what percent of 55:

220:55*100 =

(220*100):55 =

22000:55 = 400

Now we have: 220 is what percent of 55 = 400

Question: 220 is what percent of 55?

Percentage solution with steps:

Step 1: We make the assumption that 55 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\%}={55}.

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

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

{100\%}={55}(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{55}{220}

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

\frac{x\%}{100\%}=\frac{220}{55}

\Rightarrow{x} = {400\%}

Therefore, {220} is {400\%} of {55}.

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Solution for 55 is what percent of 220:

55:220*100 =

(55*100):220 =

5500:220 = 25

Now we have: 55 is what percent of 220 = 25

Question: 55 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\%}={55}.

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

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

{x\%}={55}(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}{55}

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

\frac{x\%}{100\%}=\frac{55}{220}

\Rightarrow{x} = {25\%}

Therefore, {55} is {25\%} of {220}.