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Solution for 144 is what percent of 45:

144:45*100 =

(144*100):45 =

14400:45 = 320

Now we have: 144 is what percent of 45 = 320

Question: 144 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\%}={144}.

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

{100\%}={45}(1).

{x\%}={144}(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}{144}

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

\frac{x\%}{100\%}=\frac{144}{45}

\Rightarrow{x} = {320\%}

Therefore, {144} is {320\%} of {45}.

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Solution for 45 is what percent of 144:

45:144*100 =

(45*100):144 =

4500:144 = 31.25

Now we have: 45 is what percent of 144 = 31.25

Question: 45 is what percent of 144?

Percentage solution with steps:

Step 1: We make the assumption that 144 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\%}={144}.

Step 4: In the same vein, {x\%}={45}.

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

{100\%}={144}(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{144}{45}

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

\frac{x\%}{100\%}=\frac{45}{144}

\Rightarrow{x} = {31.25\%}

Therefore, {45} is {31.25\%} of {144}.