# Percentage Calculator

### 5 is what percent of 70?

#### Solution for 5 is what percent of 70:

5:70*100 =

(5*100):70 =

500:70 = 7.14

**Now we have: 5 is what percent of 70 = 7.14**

**Question: 5 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\%}={5}.

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

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

{x\%}={5}(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}{5}

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

\frac{x\%}{100\%}=\frac{5}{70}

\Rightarrow{x} = {7.14\%}

Therefore, {5} is {7.14\%} of {70}.

#### Solution for 70 is what percent of 5:

70:5*100 =

(70*100):5 =

7000:5 = 1400

**Now we have: 70 is what percent of 5 = 1400**

**Question: 70 is what percent of 5?**

Percentage solution with steps:

Step 1: We make the assumption that 5 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\%}={5}.

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

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

{100\%}={5}(1).

{x\%}={70}(2).

(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{5}{70}

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

\frac{x\%}{100\%}=\frac{70}{5}

\Rightarrow{x} = {1400\%}

Therefore, {70} is {1400\%} of {5}.

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