What is 84 percent of 85.7 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 85.7 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 85.7 is 100%, so we can write it down as 85.7=100%.
4. We know, that x is 84% of the output value, so we can write it down as x=84%.
5. Now we have two simple equations:
1) 85.7=100%
2) x=84%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
85.7/x=100%/84%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 84% of 85.7

85.7/x=100/84
(85.7/x)*x=(100/84)*x       - we multiply both sides of the equation by x
85.7=1.1904761904762*x       - we divide both sides of the equation by (1.1904761904762) to get x
85.7/1.1904761904762=x
71.988=x
x=71.988

now we have:
84% of 85.7=71.988