1205.42 is what percent of 13705.42 - 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 13705.42 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 13705.42, so we can write it down as 100%=13705.42.
4. We know, that x% equals 1205.42 of the output value, so we can write it down as x%=1205.42.
5. Now we have two simple equations:
1) 100%=13705.42
2) x%=1205.42
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%=13705.42/1205.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1205.42 is what percent of 13705.42

100%/x%=13705.42/1205.42
(100/x)*x=(13705.42/1205.42)*x       - we multiply both sides of the equation by x
100=11.36982960296*x       - we divide both sides of the equation by (11.36982960296) to get x
100/11.36982960296=x
8.7952065679125=x
x=8.7952065679125

now we have:
1205.42 is 8.7952065679125% of 13705.42