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Solution for 3.0 is what percent of 49:

3.0:49*100 =

(3.0*100):49 =

300:49 = 6.1224489795918

Now we have: 3.0 is what percent of 49 = 6.1224489795918

Question: 3.0 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\%}={3.0}.

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

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

{x\%}={3.0}(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}{3.0}

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

\frac{x\%}{100\%}=\frac{3.0}{49}

\Rightarrow{x} = {6.1224489795918\%}

Therefore, {3.0} is {6.1224489795918\%} of {49}.

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Solution for 49 is what percent of 3.0:

49:3.0*100 =

(49*100):3.0 =

4900:3.0 = 1633.3333333333

Now we have: 49 is what percent of 3.0 = 1633.3333333333

Question: 49 is what percent of 3.0?

Percentage solution with steps:

Step 1: We make the assumption that 3.0 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\%}={3.0}.

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

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

{100\%}={3.0}(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{3.0}{49}

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

\frac{x\%}{100\%}=\frac{49}{3.0}

\Rightarrow{x} = {1633.3333333333\%}

Therefore, {49} is {1633.3333333333\%} of {3.0}.