#### Solution for 220 is what percent of 265:

220:265*100 =

(220*100):265 =

22000:265 = 83.02

Now we have: 220 is what percent of 265 = 83.02

Question: 220 is what percent of 265?

Percentage solution with steps:

Step 1: We make the assumption that 265 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\%}={265}.

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

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

{100\%}={265}(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{265}{220}

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

\frac{x\%}{100\%}=\frac{220}{265}

\Rightarrow{x} = {83.02\%}

Therefore, {220} is {83.02\%} of {265}.

#### Solution for 265 is what percent of 220:

265:220*100 =

(265*100):220 =

26500:220 = 120.45

Now we have: 265 is what percent of 220 = 120.45

Question: 265 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\%}={265}.

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

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

{x\%}={265}(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}{265}

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

\frac{x\%}{100\%}=\frac{265}{220}

\Rightarrow{x} = {120.45\%}

Therefore, {265} is {120.45\%} of {220}.

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