#### Solution for 1309 is what percent of 900:

1309:900*100 =

(1309*100):900 =

130900:900 = 145.44

Now we have: 1309 is what percent of 900 = 145.44

Question: 1309 is what percent of 900?

Percentage solution with steps:

Step 1: We make the assumption that 900 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\%}={900}.

Step 4: In the same vein, {x\%}={1309}.

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

{100\%}={900}(1).

{x\%}={1309}(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{900}{1309}

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

\frac{x\%}{100\%}=\frac{1309}{900}

\Rightarrow{x} = {145.44\%}

Therefore, {1309} is {145.44\%} of {900}.

#### Solution for 900 is what percent of 1309:

900:1309*100 =

(900*100):1309 =

90000:1309 = 68.75

Now we have: 900 is what percent of 1309 = 68.75

Question: 900 is what percent of 1309?

Percentage solution with steps:

Step 1: We make the assumption that 1309 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\%}={1309}.

Step 4: In the same vein, {x\%}={900}.

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

{100\%}={1309}(1).

{x\%}={900}(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{1309}{900}

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

\frac{x\%}{100\%}=\frac{900}{1309}

\Rightarrow{x} = {68.75\%}

Therefore, {900} is {68.75\%} of {1309}.

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