305.89 is what percent of 1960.6 - 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 1960.6 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 1960.6, so we can write it down as 100%=1960.6.
4. We know, that x% equals 305.89 of the output value, so we can write it down as x%=305.89.
5. Now we have two simple equations:
1) 100%=1960.6
2) x%=305.89
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%=1960.6/305.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 305.89 is what percent of 1960.6

100%/x%=1960.6/305.89
(100/x)*x=(1960.6/305.89)*x       - we multiply both sides of the equation by x
100=6.4094936088136*x       - we divide both sides of the equation by (6.4094936088136) to get x
100/6.4094936088136=x
15.601856574518=x
x=15.601856574518

now we have:
305.89 is 15.601856574518% of 1960.6