#### Solution for 675 is what percent of 790:

675:790*100 =

(675*100):790 =

67500:790 = 85.44

Now we have: 675 is what percent of 790 = 85.44

Question: 675 is what percent of 790?

Percentage solution with steps:

Step 1: We make the assumption that 790 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\%}={790}.

Step 4: In the same vein, {x\%}={675}.

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

{100\%}={790}(1).

{x\%}={675}(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{790}{675}

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

\frac{x\%}{100\%}=\frac{675}{790}

\Rightarrow{x} = {85.44\%}

Therefore, {675} is {85.44\%} of {790}.

#### Solution for 790 is what percent of 675:

790:675*100 =

(790*100):675 =

79000:675 = 117.04

Now we have: 790 is what percent of 675 = 117.04

Question: 790 is what percent of 675?

Percentage solution with steps:

Step 1: We make the assumption that 675 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\%}={675}.

Step 4: In the same vein, {x\%}={790}.

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

{100\%}={675}(1).

{x\%}={790}(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{675}{790}

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

\frac{x\%}{100\%}=\frac{790}{675}

\Rightarrow{x} = {117.04\%}

Therefore, {790} is {117.04\%} of {675}.

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