#### Solution for 49 is what percent of 196:

49:196*100 =

(49*100):196 =

4900:196 = 25

Now we have: 49 is what percent of 196 = 25

Question: 49 is what percent of 196?

Percentage solution with steps:

Step 1: We make the assumption that 196 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\%}={196}.

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

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

{100\%}={196}(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{196}{49}

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

\frac{x\%}{100\%}=\frac{49}{196}

\Rightarrow{x} = {25\%}

Therefore, {49} is {25\%} of {196}.

#### Solution for 196 is what percent of 49:

196:49*100 =

(196*100):49 =

19600:49 = 400

Now we have: 196 is what percent of 49 = 400

Question: 196 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\%}={196}.

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

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

{x\%}={196}(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}{196}

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

\frac{x\%}{100\%}=\frac{196}{49}

\Rightarrow{x} = {400\%}

Therefore, {196} is {400\%} of {49}.

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