692.57 is what percent of 10345.31 - 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 10345.31 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 10345.31, so we can write it down as 100%=10345.31.
4. We know, that x% equals 692.57 of the output value, so we can write it down as x%=692.57.
5. Now we have two simple equations:
1) 100%=10345.31
2) x%=692.57
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%=10345.31/692.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 692.57 is what percent of 10345.31

100%/x%=10345.31/692.57
(100/x)*x=(10345.31/692.57)*x       - we multiply both sides of the equation by x
100=14.937565877817*x       - we divide both sides of the equation by (14.937565877817) to get x
100/14.937565877817=x
6.6945311450309=x
x=6.6945311450309

now we have:
692.57 is 6.6945311450309% of 10345.31