#### Solution for 259 is what percent of 1385:

259:1385*100 =

(259*100):1385 =

25900:1385 = 18.7

Now we have: 259 is what percent of 1385 = 18.7

Question: 259 is what percent of 1385?

Percentage solution with steps:

Step 1: We make the assumption that 1385 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\%}={1385}.

Step 4: In the same vein, {x\%}={259}.

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

{100\%}={1385}(1).

{x\%}={259}(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{1385}{259}

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

\frac{x\%}{100\%}=\frac{259}{1385}

\Rightarrow{x} = {18.7\%}

Therefore, {259} is {18.7\%} of {1385}.

#### Solution for 1385 is what percent of 259:

1385:259*100 =

(1385*100):259 =

138500:259 = 534.75

Now we have: 1385 is what percent of 259 = 534.75

Question: 1385 is what percent of 259?

Percentage solution with steps:

Step 1: We make the assumption that 259 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\%}={259}.

Step 4: In the same vein, {x\%}={1385}.

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

{100\%}={259}(1).

{x\%}={1385}(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{259}{1385}

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

\frac{x\%}{100\%}=\frac{1385}{259}

\Rightarrow{x} = {534.75\%}

Therefore, {1385} is {534.75\%} of {259}.

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