#### Solution for 363 is what percent of 703:

363:703*100 =

(363*100):703 =

36300:703 = 51.64

Now we have: 363 is what percent of 703 = 51.64

Question: 363 is what percent of 703?

Percentage solution with steps:

Step 1: We make the assumption that 703 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\%}={703}.

Step 4: In the same vein, {x\%}={363}.

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

{100\%}={703}(1).

{x\%}={363}(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{703}{363}

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

\frac{x\%}{100\%}=\frac{363}{703}

\Rightarrow{x} = {51.64\%}

Therefore, {363} is {51.64\%} of {703}.

#### Solution for 703 is what percent of 363:

703:363*100 =

(703*100):363 =

70300:363 = 193.66

Now we have: 703 is what percent of 363 = 193.66

Question: 703 is what percent of 363?

Percentage solution with steps:

Step 1: We make the assumption that 363 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\%}={363}.

Step 4: In the same vein, {x\%}={703}.

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

{100\%}={363}(1).

{x\%}={703}(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{363}{703}

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

\frac{x\%}{100\%}=\frac{703}{363}

\Rightarrow{x} = {193.66\%}

Therefore, {703} is {193.66\%} of {363}.

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