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Solution for 145 is what percent of 49:

145:49*100 =

(145*100):49 =

14500:49 = 295.92

Now we have: 145 is what percent of 49 = 295.92

Question: 145 is what percent of 49?

Percentage solution with steps:

Step 1: We make the assumption that 49 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\%}={49}.

Step 4: In the same vein, {x\%}={145}.

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

{100\%}={49}(1).

{x\%}={145}(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{49}{145}

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

\frac{x\%}{100\%}=\frac{145}{49}

\Rightarrow{x} = {295.92\%}

Therefore, {145} is {295.92\%} of {49}.

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Solution for 49 is what percent of 145:

49:145*100 =

(49*100):145 =

4900:145 = 33.79

Now we have: 49 is what percent of 145 = 33.79

Question: 49 is what percent of 145?

Percentage solution with steps:

Step 1: We make the assumption that 145 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\%}={145}.

Step 4: In the same vein, {x\%}={49}.

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

{100\%}={145}(1).

{x\%}={49}(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{145}{49}

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

\frac{x\%}{100\%}=\frac{49}{145}

\Rightarrow{x} = {33.79\%}

Therefore, {49} is {33.79\%} of {145}.