8.55 is what percent of 163.05 - 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 163.05 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 163.05, so we can write it down as 100%=163.05.
4. We know, that x% equals 8.55 of the output value, so we can write it down as x%=8.55.
5. Now we have two simple equations:
1) 100%=163.05
2) x%=8.55
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%=163.05/8.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.55 is what percent of 163.05

100%/x%=163.05/8.55
(100/x)*x=(163.05/8.55)*x       - we multiply both sides of the equation by x
100=19.070175438596*x       - we divide both sides of the equation by (19.070175438596) to get x
100/19.070175438596=x
5.2437902483901=x
x=5.2437902483901

now we have:
8.55 is 5.2437902483901% of 163.05