#### Solution for 78.50 is what percent of 130:

78.50:130*100 =

(78.50*100):130 =

7850:130 = 60.384615384615

Now we have: 78.50 is what percent of 130 = 60.384615384615

Question: 78.50 is what percent of 130?

Percentage solution with steps:

Step 1: We make the assumption that 130 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\%}={130}.

Step 4: In the same vein, {x\%}={78.50}.

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

{100\%}={130}(1).

{x\%}={78.50}(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{130}{78.50}

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

\frac{x\%}{100\%}=\frac{78.50}{130}

\Rightarrow{x} = {60.384615384615\%}

Therefore, {78.50} is {60.384615384615\%} of {130}.

#### Solution for 130 is what percent of 78.50:

130:78.50*100 =

(130*100):78.50 =

13000:78.50 = 165.6050955414

Now we have: 130 is what percent of 78.50 = 165.6050955414

Question: 130 is what percent of 78.50?

Percentage solution with steps:

Step 1: We make the assumption that 78.50 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\%}={78.50}.

Step 4: In the same vein, {x\%}={130}.

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

{100\%}={78.50}(1).

{x\%}={130}(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{78.50}{130}

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

\frac{x\%}{100\%}=\frac{130}{78.50}

\Rightarrow{x} = {165.6050955414\%}

Therefore, {130} is {165.6050955414\%} of {78.50}.

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