#### Solution for 10 is what percent of 196:

10:196*100 =

(10*100):196 =

1000:196 = 5.1

Now we have: 10 is what percent of 196 = 5.1

Question: 10 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\%}={10}.

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

{100\%}={196}(1).

{x\%}={10}(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}{10}

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

\frac{x\%}{100\%}=\frac{10}{196}

\Rightarrow{x} = {5.1\%}

Therefore, {10} is {5.1\%} of {196}.

#### Solution for 196 is what percent of 10:

196:10*100 =

(196*100):10 =

19600:10 = 1960

Now we have: 196 is what percent of 10 = 1960

Question: 196 is what percent of 10?

Percentage solution with steps:

Step 1: We make the assumption that 10 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\%}={10}.

Step 4: In the same vein, {x\%}={196}.

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

{100\%}={10}(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{10}{196}

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

\frac{x\%}{100\%}=\frac{196}{10}

\Rightarrow{x} = {1960\%}

Therefore, {196} is {1960\%} of {10}.

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