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Solution for 270 is what percent of 45:

270:45*100 =

( 270*100):45 =

27000:45 = 600

Now we have: 270 is what percent of 45 = 600

Question: 270 is what percent of 45?

Percentage solution with steps:

Step 1: We make the assumption that 45 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\%}={45}.

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

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

{100\%}={45}(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{45}{ 270}

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

\frac{x\%}{100\%}=\frac{ 270}{45}

\Rightarrow{x} = {600\%}

Therefore, { 270} is {600\%} of {45}.

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Solution for 45 is what percent of 270:

45: 270*100 =

(45*100): 270 =

4500: 270 = 16.67

Now we have: 45 is what percent of 270 = 16.67

Question: 45 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\%}={45}.

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

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

{x\%}={45}(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}{45}

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

\frac{x\%}{100\%}=\frac{45}{ 270}

\Rightarrow{x} = {16.67\%}

Therefore, {45} is {16.67\%} of { 270}.