#### Solution for 102 is what percent of 1459:

102:1459*100 =

(102*100):1459 =

10200:1459 = 6.99

Now we have: 102 is what percent of 1459 = 6.99

Question: 102 is what percent of 1459?

Percentage solution with steps:

Step 1: We make the assumption that 1459 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\%}={1459}.

Step 4: In the same vein, {x\%}={102}.

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

{100\%}={1459}(1).

{x\%}={102}(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{1459}{102}

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

\frac{x\%}{100\%}=\frac{102}{1459}

\Rightarrow{x} = {6.99\%}

Therefore, {102} is {6.99\%} of {1459}.

#### Solution for 1459 is what percent of 102:

1459:102*100 =

(1459*100):102 =

145900:102 = 1430.39

Now we have: 1459 is what percent of 102 = 1430.39

Question: 1459 is what percent of 102?

Percentage solution with steps:

Step 1: We make the assumption that 102 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\%}={102}.

Step 4: In the same vein, {x\%}={1459}.

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

{100\%}={102}(1).

{x\%}={1459}(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{102}{1459}

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

\frac{x\%}{100\%}=\frac{1459}{102}

\Rightarrow{x} = {1430.39\%}

Therefore, {1459} is {1430.39\%} of {102}.

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