#### Solution for 790 is what percent of 1150:

790:1150*100 =

(790*100):1150 =

79000:1150 = 68.7

Now we have: 790 is what percent of 1150 = 68.7

Question: 790 is what percent of 1150?

Percentage solution with steps:

Step 1: We make the assumption that 1150 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\%}={1150}.

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

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

{100\%}={1150}(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{1150}{790}

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

\frac{x\%}{100\%}=\frac{790}{1150}

\Rightarrow{x} = {68.7\%}

Therefore, {790} is {68.7\%} of {1150}.

#### Solution for 1150 is what percent of 790:

1150:790*100 =

(1150*100):790 =

115000:790 = 145.57

Now we have: 1150 is what percent of 790 = 145.57

Question: 1150 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\%}={1150}.

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

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

{x\%}={1150}(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}{1150}

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

\frac{x\%}{100\%}=\frac{1150}{790}

\Rightarrow{x} = {145.57\%}

Therefore, {1150} is {145.57\%} of {790}.

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