85.5 is what percent of 143.35 - 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 143.35 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 143.35, so we can write it down as 100%=143.35.
4. We know, that x% equals 85.5 of the output value, so we can write it down as x%=85.5.
5. Now we have two simple equations:
1) 100%=143.35
2) x%=85.5
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%=143.35/85.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85.5 is what percent of 143.35

100%/x%=143.35/85.5
(100/x)*x=(143.35/85.5)*x       - we multiply both sides of the equation by x
100=1.6766081871345*x       - we divide both sides of the equation by (1.6766081871345) to get x
100/1.6766081871345=x
59.644227415417=x
x=59.644227415417

now we have:
85.5 is 59.644227415417% of 143.35