#### Solution for 309 is what percent of 410:

309:410*100 =

(309*100):410 =

30900:410 = 75.37

Now we have: 309 is what percent of 410 = 75.37

Question: 309 is what percent of 410?

Percentage solution with steps:

Step 1: We make the assumption that 410 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\%}={410}.

Step 4: In the same vein, {x\%}={309}.

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

{100\%}={410}(1).

{x\%}={309}(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{410}{309}

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

\frac{x\%}{100\%}=\frac{309}{410}

\Rightarrow{x} = {75.37\%}

Therefore, {309} is {75.37\%} of {410}.

#### Solution for 410 is what percent of 309:

410:309*100 =

(410*100):309 =

41000:309 = 132.69

Now we have: 410 is what percent of 309 = 132.69

Question: 410 is what percent of 309?

Percentage solution with steps:

Step 1: We make the assumption that 309 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\%}={309}.

Step 4: In the same vein, {x\%}={410}.

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

{100\%}={309}(1).

{x\%}={410}(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{309}{410}

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

\frac{x\%}{100\%}=\frac{410}{309}

\Rightarrow{x} = {132.69\%}

Therefore, {410} is {132.69\%} of {309}.

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