#### Solution for 86 is what percent of 1330:

86:1330*100 =

(86*100):1330 =

8600:1330 = 6.47

Now we have: 86 is what percent of 1330 = 6.47

Question: 86 is what percent of 1330?

Percentage solution with steps:

Step 1: We make the assumption that 1330 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\%}={1330}.

Step 4: In the same vein, {x\%}={86}.

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

{100\%}={1330}(1).

{x\%}={86}(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{1330}{86}

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

\frac{x\%}{100\%}=\frac{86}{1330}

\Rightarrow{x} = {6.47\%}

Therefore, {86} is {6.47\%} of {1330}.

#### Solution for 1330 is what percent of 86:

1330:86*100 =

(1330*100):86 =

133000:86 = 1546.51

Now we have: 1330 is what percent of 86 = 1546.51

Question: 1330 is what percent of 86?

Percentage solution with steps:

Step 1: We make the assumption that 86 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\%}={86}.

Step 4: In the same vein, {x\%}={1330}.

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

{100\%}={86}(1).

{x\%}={1330}(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{86}{1330}

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

\frac{x\%}{100\%}=\frac{1330}{86}

\Rightarrow{x} = {1546.51\%}

Therefore, {1330} is {1546.51\%} of {86}.

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