#### Solution for 10 is what percent of 637:

10:637*100 =

(10*100):637 =

1000:637 = 1.57

Now we have: 10 is what percent of 637 = 1.57

Question: 10 is what percent of 637?

Percentage solution with steps:

Step 1: We make the assumption that 637 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\%}={637}.

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

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

{100\%}={637}(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{637}{10}

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

\frac{x\%}{100\%}=\frac{10}{637}

\Rightarrow{x} = {1.57\%}

Therefore, {10} is {1.57\%} of {637}.

#### Solution for 637 is what percent of 10:

637:10*100 =

(637*100):10 =

63700:10 = 6370

Now we have: 637 is what percent of 10 = 6370

Question: 637 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\%}={637}.

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

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

{x\%}={637}(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}{637}

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

\frac{x\%}{100\%}=\frac{637}{10}

\Rightarrow{x} = {6370\%}

Therefore, {637} is {6370\%} of {10}.

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