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Solution for 149 is what percent of 45:

149:45*100 =

(149*100):45 =

14900:45 = 331.11

Now we have: 149 is what percent of 45 = 331.11

Question: 149 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\%}={149}.

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

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

{x\%}={149}(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}{149}

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

\frac{x\%}{100\%}=\frac{149}{45}

\Rightarrow{x} = {331.11\%}

Therefore, {149} is {331.11\%} of {45}.

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Solution for 45 is what percent of 149:

45:149*100 =

(45*100):149 =

4500:149 = 30.2

Now we have: 45 is what percent of 149 = 30.2

Question: 45 is what percent of 149?

Percentage solution with steps:

Step 1: We make the assumption that 149 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\%}={149}.

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

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

{100\%}={149}(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{149}{45}

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

\frac{x\%}{100\%}=\frac{45}{149}

\Rightarrow{x} = {30.2\%}

Therefore, {45} is {30.2\%} of {149}.