#### Solution for 1962 is what percent of 10:

1962:10*100 =

(1962*100):10 =

196200:10 = 19620

Now we have: 1962 is what percent of 10 = 19620

Question: 1962 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\%}={1962}.

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

{100\%}={10}(1).

{x\%}={1962}(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}{1962}

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

\frac{x\%}{100\%}=\frac{1962}{10}

\Rightarrow{x} = {19620\%}

Therefore, {1962} is {19620\%} of {10}.

#### Solution for 10 is what percent of 1962:

10:1962*100 =

(10*100):1962 =

1000:1962 = 0.51

Now we have: 10 is what percent of 1962 = 0.51

Question: 10 is what percent of 1962?

Percentage solution with steps:

Step 1: We make the assumption that 1962 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\%}={1962}.

Step 4: In the same vein, {x\%}={10}.

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

{100\%}={1962}(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{1962}{10}

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

\frac{x\%}{100\%}=\frac{10}{1962}

\Rightarrow{x} = {0.51\%}

Therefore, {10} is {0.51\%} of {1962}.

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