#### Solution for 102 is what percent of 980:

102:980*100 =

(102*100):980 =

10200:980 = 10.41

Now we have: 102 is what percent of 980 = 10.41

Question: 102 is what percent of 980?

Percentage solution with steps:

Step 1: We make the assumption that 980 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\%}={980}.

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

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

{100\%}={980}(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{980}{102}

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

\frac{x\%}{100\%}=\frac{102}{980}

\Rightarrow{x} = {10.41\%}

Therefore, {102} is {10.41\%} of {980}.

#### Solution for 980 is what percent of 102:

980:102*100 =

(980*100):102 =

98000:102 = 960.78

Now we have: 980 is what percent of 102 = 960.78

Question: 980 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\%}={980}.

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

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

{x\%}={980}(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}{980}

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

\frac{x\%}{100\%}=\frac{980}{102}

\Rightarrow{x} = {960.78\%}

Therefore, {980} is {960.78\%} of {102}.

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