103.47 is what percent of 925.69 - 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 925.69 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 925.69, so we can write it down as 100%=925.69.
4. We know, that x% equals 103.47 of the output value, so we can write it down as x%=103.47.
5. Now we have two simple equations:
1) 100%=925.69
2) x%=103.47
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%=925.69/103.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 103.47 is what percent of 925.69

100%/x%=925.69/103.47
(100/x)*x=(925.69/103.47)*x       - we multiply both sides of the equation by x
100=8.9464579105055*x       - we divide both sides of the equation by (8.9464579105055) to get x
100/8.9464579105055=x
11.177608054532=x
x=11.177608054532

now we have:
103.47 is 11.177608054532% of 925.69