#### Solution for 4900 is what percent of 10700:

4900:10700*100 =

(4900*100):10700 =

490000:10700 = 45.79

Now we have: 4900 is what percent of 10700 = 45.79

Question: 4900 is what percent of 10700?

Percentage solution with steps:

Step 1: We make the assumption that 10700 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\%}={10700}.

Step 4: In the same vein, {x\%}={4900}.

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

{100\%}={10700}(1).

{x\%}={4900}(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{10700}{4900}

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

\frac{x\%}{100\%}=\frac{4900}{10700}

\Rightarrow{x} = {45.79\%}

Therefore, {4900} is {45.79\%} of {10700}.

#### Solution for 10700 is what percent of 4900:

10700:4900*100 =

(10700*100):4900 =

1070000:4900 = 218.37

Now we have: 10700 is what percent of 4900 = 218.37

Question: 10700 is what percent of 4900?

Percentage solution with steps:

Step 1: We make the assumption that 4900 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\%}={4900}.

Step 4: In the same vein, {x\%}={10700}.

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

{100\%}={4900}(1).

{x\%}={10700}(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{4900}{10700}

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

\frac{x\%}{100\%}=\frac{10700}{4900}

\Rightarrow{x} = {218.37\%}

Therefore, {10700} is {218.37\%} of {4900}.

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