85.16 is what percent of 1373.6 - 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 1373.6 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 1373.6, so we can write it down as 100%=1373.6.
4. We know, that x% equals 85.16 of the output value, so we can write it down as x%=85.16.
5. Now we have two simple equations:
1) 100%=1373.6
2) x%=85.16
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%=1373.6/85.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85.16 is what percent of 1373.6

100%/x%=1373.6/85.16
(100/x)*x=(1373.6/85.16)*x       - we multiply both sides of the equation by x
100=16.129638327853*x       - we divide both sides of the equation by (16.129638327853) to get x
100/16.129638327853=x
6.1997670355271=x
x=6.1997670355271

now we have:
85.16 is 6.1997670355271% of 1373.6