#### Solution for 860 is what percent of 1300:

860:1300*100 =

(860*100):1300 =

86000:1300 = 66.15

Now we have: 860 is what percent of 1300 = 66.15

Question: 860 is what percent of 1300?

Percentage solution with steps:

Step 1: We make the assumption that 1300 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\%}={1300}.

Step 4: In the same vein, {x\%}={860}.

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

{100\%}={1300}(1).

{x\%}={860}(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{1300}{860}

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

\frac{x\%}{100\%}=\frac{860}{1300}

\Rightarrow{x} = {66.15\%}

Therefore, {860} is {66.15\%} of {1300}.

#### Solution for 1300 is what percent of 860:

1300:860*100 =

(1300*100):860 =

130000:860 = 151.16

Now we have: 1300 is what percent of 860 = 151.16

Question: 1300 is what percent of 860?

Percentage solution with steps:

Step 1: We make the assumption that 860 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\%}={860}.

Step 4: In the same vein, {x\%}={1300}.

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

{100\%}={860}(1).

{x\%}={1300}(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{860}{1300}

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

\frac{x\%}{100\%}=\frac{1300}{860}

\Rightarrow{x} = {151.16\%}

Therefore, {1300} is {151.16\%} of {860}.

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