#### Solution for 10 is what percent of 51.00:

10:51.00*100 =

(10*100):51.00 =

1000:51.00 = 19.607843137255

Now we have: 10 is what percent of 51.00 = 19.607843137255

Question: 10 is what percent of 51.00?

Percentage solution with steps:

Step 1: We make the assumption that 51.00 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\%}={51.00}.

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

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

{100\%}={51.00}(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{51.00}{10}

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

\frac{x\%}{100\%}=\frac{10}{51.00}

\Rightarrow{x} = {19.607843137255\%}

Therefore, {10} is {19.607843137255\%} of {51.00}.

#### Solution for 51.00 is what percent of 10:

51.00:10*100 =

(51.00*100):10 =

5100:10 = 510

Now we have: 51.00 is what percent of 10 = 510

Question: 51.00 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\%}={51.00}.

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

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

{x\%}={51.00}(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}{51.00}

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

\frac{x\%}{100\%}=\frac{51.00}{10}

\Rightarrow{x} = {510\%}

Therefore, {51.00} is {510\%} of {10}.

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