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Solution for 170 is what percent of 1300:

170:1300*100 =

(170*100):1300 =

17000:1300 = 13.08

Now we have: 170 is what percent of 1300 = 13.08

Question: 170 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\%}={170}.

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

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

{x\%}={170}(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}{170}

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

\frac{x\%}{100\%}=\frac{170}{1300}

\Rightarrow{x} = {13.08\%}

Therefore, {170} is {13.08\%} of {1300}.

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Solution for 1300 is what percent of 170:

1300:170*100 =

(1300*100):170 =

130000:170 = 764.71

Now we have: 1300 is what percent of 170 = 764.71

Question: 1300 is what percent of 170?

Percentage solution with steps:

Step 1: We make the assumption that 170 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\%}={170}.

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

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

{100\%}={170}(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{170}{1300}

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

\frac{x\%}{100\%}=\frac{1300}{170}

\Rightarrow{x} = {764.71\%}

Therefore, {1300} is {764.71\%} of {170}.