#### Solution for 270 is what percent of 110:

270:110*100 =

(270*100):110 =

27000:110 = 245.45

Now we have: 270 is what percent of 110 = 245.45

Question: 270 is what percent of 110?

Percentage solution with steps:

Step 1: We make the assumption that 110 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\%}={110}.

Step 4: In the same vein, {x\%}={270}.

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

{100\%}={110}(1).

{x\%}={270}(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{110}{270}

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

\frac{x\%}{100\%}=\frac{270}{110}

\Rightarrow{x} = {245.45\%}

Therefore, {270} is {245.45\%} of {110}.

#### Solution for 110 is what percent of 270:

110:270*100 =

(110*100):270 =

11000:270 = 40.74

Now we have: 110 is what percent of 270 = 40.74

Question: 110 is what percent of 270?

Percentage solution with steps:

Step 1: We make the assumption that 270 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\%}={270}.

Step 4: In the same vein, {x\%}={110}.

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

{100\%}={270}(1).

{x\%}={110}(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{270}{110}

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

\frac{x\%}{100\%}=\frac{110}{270}

\Rightarrow{x} = {40.74\%}

Therefore, {110} is {40.74\%} of {270}.

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