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Solution for 70 is what percent of 85:

70:85*100 =

(70*100):85 =

7000:85 = 82.35

Now we have: 70 is what percent of 85 = 82.35

Question: 70 is what percent of 85?

Percentage solution with steps:

Step 1: We make the assumption that 85 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\%}={85}.

Step 4: In the same vein, {x\%}={70}.

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

{100\%}={85}(1).

{x\%}={70}(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{85}{70}

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

\frac{x\%}{100\%}=\frac{70}{85}

\Rightarrow{x} = {82.35\%}

Therefore, {70} is {82.35\%} of {85}.

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Solution for 85 is what percent of 70:

85:70*100 =

(85*100):70 =

8500:70 = 121.43

Now we have: 85 is what percent of 70 = 121.43

Question: 85 is what percent of 70?

Percentage solution with steps:

Step 1: We make the assumption that 70 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\%}={70}.

Step 4: In the same vein, {x\%}={85}.

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

{100\%}={70}(1).

{x\%}={85}(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{70}{85}

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

\frac{x\%}{100\%}=\frac{85}{70}

\Rightarrow{x} = {121.43\%}

Therefore, {85} is {121.43\%} of {70}.