#### Solution for 4.51 is what percent of 10:

4.51:10*100 =

(4.51*100):10 =

451:10 = 45.1

Now we have: 4.51 is what percent of 10 = 45.1

Question: 4.51 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\%}={4.51}.

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

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

{x\%}={4.51}(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}{4.51}

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

\frac{x\%}{100\%}=\frac{4.51}{10}

\Rightarrow{x} = {45.1\%}

Therefore, {4.51} is {45.1\%} of {10}.

#### Solution for 10 is what percent of 4.51:

10:4.51*100 =

(10*100):4.51 =

1000:4.51 = 221.72949002217

Now we have: 10 is what percent of 4.51 = 221.72949002217

Question: 10 is what percent of 4.51?

Percentage solution with steps:

Step 1: We make the assumption that 4.51 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\%}={4.51}.

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

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

{100\%}={4.51}(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{4.51}{10}

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

\frac{x\%}{100\%}=\frac{10}{4.51}

\Rightarrow{x} = {221.72949002217\%}

Therefore, {10} is {221.72949002217\%} of {4.51}.

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