11.78 is what percent of 692.24 - 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 692.24 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 692.24, so we can write it down as 100%=692.24.
4. We know, that x% equals 11.78 of the output value, so we can write it down as x%=11.78.
5. Now we have two simple equations:
1) 100%=692.24
2) x%=11.78
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%=692.24/11.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.78 is what percent of 692.24

100%/x%=692.24/11.78
(100/x)*x=(692.24/11.78)*x       - we multiply both sides of the equation by x
100=58.764006791171*x       - we divide both sides of the equation by (58.764006791171) to get x
100/58.764006791171=x
1.7017219461458=x
x=1.7017219461458

now we have:
11.78 is 1.7017219461458% of 692.24