#### Solution for 1450 is what percent of 4900:

1450:4900*100 =

(1450*100):4900 =

145000:4900 = 29.59

Now we have: 1450 is what percent of 4900 = 29.59

Question: 1450 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\%}={1450}.

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

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

{x\%}={1450}(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}{1450}

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

\frac{x\%}{100\%}=\frac{1450}{4900}

\Rightarrow{x} = {29.59\%}

Therefore, {1450} is {29.59\%} of {4900}.

#### Solution for 4900 is what percent of 1450:

4900:1450*100 =

(4900*100):1450 =

490000:1450 = 337.93

Now we have: 4900 is what percent of 1450 = 337.93

Question: 4900 is what percent of 1450?

Percentage solution with steps:

Step 1: We make the assumption that 1450 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\%}={1450}.

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

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

{100\%}={1450}(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{1450}{4900}

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

\frac{x\%}{100\%}=\frac{4900}{1450}

\Rightarrow{x} = {337.93\%}

Therefore, {4900} is {337.93\%} of {1450}.

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