170.2 is what percent of 182 - 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 182 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 100% equals 182, so we can write it down as 100%=182.
4. We know, that x% equals 170.2 of the output value, so we can write it down as x%=170.2.
5. Now we have two simple equations:
1) 100%=182
2) x%=170.2
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:
100%/x%=182/170.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 170.2 is what percent of 182

100%/x%=182/170.2
(100/x)*x=(182/170.2)*x       - we multiply both sides of the equation by x
100=1.069330199765*x       - we divide both sides of the equation by (1.069330199765) to get x
100/1.069330199765=x
93.516483516484=x
x=93.516483516484

now we have:
170.2 is 93.516483516484% of 182