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To solve problems that involve percent, use the percent equation.
Equation: 84 = 0.6* w
Solution: w = 140
Let's start by recalling that we can use the percent equation to solve problems that involve percent.
Percent Equation [0.3em]
part = percent * whole
In this case, we want to find the number of which 60 % is 84, which means that we want to find the whole. Let w represent the whole.
We got that 60 % is equal to 0.60 or 0.6. 84 = 60 % * w [0.3em] ↓ [0.3em] 84 = 0.6 * w Finally, let's solve the equation for w. To do so, we will use the Division Property of Equality.
.LHS /0.6.=.RHS /0.6.
Cancel out common factors
Simplify quotient
Use a calculator
Rearrange equation
We found that w= 140 is a solution to the equation. This means that 84 is 60 % of 140.