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Solution for 45.2 is what percent of 135.3:

45.2:135.3*100 =

(45.2*100):135.3 =

4520:135.3 = 33.407243163341

Now we have: 45.2 is what percent of 135.3 = 33.407243163341

Question: 45.2 is what percent of 135.3?

Percentage solution with steps:

Step 1: We make the assumption that 135.3 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\%}={135.3}.

Step 4: In the same vein, {x\%}={45.2}.

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

{100\%}={135.3}(1).

{x\%}={45.2}(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{135.3}{45.2}

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

\frac{x\%}{100\%}=\frac{45.2}{135.3}

\Rightarrow{x} = {33.407243163341\%}

Therefore, {45.2} is {33.407243163341\%} of {135.3}.

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Solution for 135.3 is what percent of 45.2:

135.3:45.2*100 =

(135.3*100):45.2 =

13530:45.2 = 299.33628318584

Now we have: 135.3 is what percent of 45.2 = 299.33628318584

Question: 135.3 is what percent of 45.2?

Percentage solution with steps:

Step 1: We make the assumption that 45.2 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\%}={45.2}.

Step 4: In the same vein, {x\%}={135.3}.

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

{100\%}={45.2}(1).

{x\%}={135.3}(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{45.2}{135.3}

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

\frac{x\%}{100\%}=\frac{135.3}{45.2}

\Rightarrow{x} = {299.33628318584\%}

Therefore, {135.3} is {299.33628318584\%} of {45.2}.