85.19 is what percent of 255.56 - 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 255.56 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 255.56, so we can write it down as 100%=255.56.
4. We know, that x% equals 85.19 of the output value, so we can write it down as x%=85.19.
5. Now we have two simple equations:
1) 100%=255.56
2) x%=85.19
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%=255.56/85.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85.19 is what percent of 255.56

100%/x%=255.56/85.19
(100/x)*x=(255.56/85.19)*x       - we multiply both sides of the equation by x
100=2.9998826153304*x       - we divide both sides of the equation by (2.9998826153304) to get x
100/2.9998826153304=x
33.334637658476=x
x=33.334637658476

now we have:
85.19 is 33.334637658476% of 255.56