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Solution for 83 is what percent of 70:

83:70*100 =

(83*100):70 =

8300:70 = 118.57

Now we have: 83 is what percent of 70 = 118.57

Question: 83 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\%}={83}.

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

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

{x\%}={83}(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}{83}

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

\frac{x\%}{100\%}=\frac{83}{70}

\Rightarrow{x} = {118.57\%}

Therefore, {83} is {118.57\%} of {70}.

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Solution for 70 is what percent of 83:

70:83*100 =

(70*100):83 =

7000:83 = 84.34

Now we have: 70 is what percent of 83 = 84.34

Question: 70 is what percent of 83?

Percentage solution with steps:

Step 1: We make the assumption that 83 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\%}={83}.

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

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

{100\%}={83}(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{83}{70}

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

\frac{x\%}{100\%}=\frac{70}{83}

\Rightarrow{x} = {84.34\%}

Therefore, {70} is {84.34\%} of {83}.