161.87 is what percent of 1082.12 - 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 1082.12 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 1082.12, so we can write it down as 100%=1082.12.
4. We know, that x% equals 161.87 of the output value, so we can write it down as x%=161.87.
5. Now we have two simple equations:
1) 100%=1082.12
2) x%=161.87
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%=1082.12/161.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 161.87 is what percent of 1082.12

100%/x%=1082.12/161.87
(100/x)*x=(1082.12/161.87)*x       - we multiply both sides of the equation by x
100=6.6851176870328*x       - we divide both sides of the equation by (6.6851176870328) to get x
100/6.6851176870328=x
14.958599785606=x
x=14.958599785606

now we have:
161.87 is 14.958599785606% of 1082.12