849.85 is what percent of 13600 - 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 13600 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 13600, so we can write it down as 100%=13600.
4. We know, that x% equals 849.85 of the output value, so we can write it down as x%=849.85.
5. Now we have two simple equations:
1) 100%=13600
2) x%=849.85
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%=13600/849.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 849.85 is what percent of 13600

100%/x%=13600/849.85
(100/x)*x=(13600/849.85)*x       - we multiply both sides of the equation by x
100=16.00282402777*x       - we divide both sides of the equation by (16.00282402777) to get x
100/16.00282402777=x
6.2488970588235=x
x=6.2488970588235

now we have:
849.85 is 6.2488970588235% of 13600