102.09 is what percent of 595.33 - 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 595.33 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 595.33, so we can write it down as 100%=595.33.
4. We know, that x% equals 102.09 of the output value, so we can write it down as x%=102.09.
5. Now we have two simple equations:
1) 100%=595.33
2) x%=102.09
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%=595.33/102.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.09 is what percent of 595.33

100%/x%=595.33/102.09
(100/x)*x=(595.33/102.09)*x       - we multiply both sides of the equation by x
100=5.8314232539916*x       - we divide both sides of the equation by (5.8314232539916) to get x
100/5.8314232539916=x
17.148472275881=x
x=17.148472275881

now we have:
102.09 is 17.148472275881% of 595.33