I just need to get the formulas for these percent problems:
1. 76 is 80 % of what #?
2. 85 is what percent of 200?
3. what % of 75 is 40?
Thanks!
1.
0.8x = 76
Solve for x
2.
85/200 = ? Change decimal answer to percent
3.
40/75 = ? Change decimal answer to percent
Another way to solve 1.
76/0.8 =
To find the formulas for percent problems, we need to understand the basic concept of percentages.
1. 76 is 80% of what #?
To find the missing number, we can set up an equation as follows:
Let the missing number be x. Since 76 is 80% of the number, we can write it as:
76 = 0.8x
To solve for x, divide both sides of the equation by 0.8:
76 / 0.8 = x
Therefore, the formula to find the missing number is: x = 76 / 0.8.
2. 85 is what percent of 200?
To find the percentage, we can use the following formula:
(85 / 200) * 100
This formula represents the fraction of 85 divided by 200, which is then multiplied by 100 to convert it into a percentage.
Thus, the formula to find the percentage is: (85 / 200) * 100.
3. What % of 75 is 40?
To find the percentage, we can set up the equation:
x / 75 = 40 / 100
Here, x represents the unknown percentage we are trying to find. We set up a proportion by comparing the given value (40) to the total value (100), and then comparing it to the unknown percentage (x) to the total value (75).
To solve for x, cross-multiply and solve for x:
x = (40 / 100) * 75
Thus, the formula to find the percentage is: x = (40 / 100) * 75.
Remember, to solve percent problems in different scenarios, you may need to modify or adapt these formulas accordingly.