8.5 is what percent of 155.8 - 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 155.8 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 155.8, so we can write it down as 100%=155.8.
4. We know, that x% equals 8.5 of the output value, so we can write it down as x%=8.5.
5. Now we have two simple equations:
1) 100%=155.8
2) x%=8.5
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%=155.8/8.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.5 is what percent of 155.8

100%/x%=155.8/8.5
(100/x)*x=(155.8/8.5)*x       - we multiply both sides of the equation by x
100=18.329411764706*x       - we divide both sides of the equation by (18.329411764706) to get x
100/18.329411764706=x
5.4557124518614=x
x=5.4557124518614

now we have:
8.5 is 5.4557124518614% of 155.8