What is 85.7142 percent of 170 - 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 170 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 170 is 100%, so we can write it down as 170=100%.
4. We know, that x is 85.7142% of the output value, so we can write it down as x=85.7142%.
5. Now we have two simple equations:
1) 170=100%
2) x=85.7142%
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:
170/x=100%/85.7142%
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 85.7142% of 170

170/x=100/85.7142
(170/x)*x=(100/85.7142)*x       - we multiply both sides of the equation by x
170=1.1666678333345*x       - we divide both sides of the equation by (1.1666678333345) to get x
170/1.1666678333345=x
145.71414=x
x=145.71414

now we have:
85.7142% of 170=145.71414