#### Solution for 24 is what percent of 270:

24:270*100 =

(24*100):270 =

2400:270 = 8.89

Now we have: 24 is what percent of 270 = 8.89

Question: 24 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\%}={24}.

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

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

{x\%}={24}(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}{24}

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

\frac{x\%}{100\%}=\frac{24}{270}

\Rightarrow{x} = {8.89\%}

Therefore, {24} is {8.89\%} of {270}.

#### Solution for 270 is what percent of 24:

270:24*100 =

(270*100):24 =

27000:24 = 1125

Now we have: 270 is what percent of 24 = 1125

Question: 270 is what percent of 24?

Percentage solution with steps:

Step 1: We make the assumption that 24 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\%}={24}.

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

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

{100\%}={24}(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{24}{270}

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

\frac{x\%}{100\%}=\frac{270}{24}

\Rightarrow{x} = {1125\%}

Therefore, {270} is {1125\%} of {24}.

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