7.08 is what percent of 10540.08 - 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 10540.08 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 10540.08, so we can write it down as 100%=10540.08.
4. We know, that x% equals 7.08 of the output value, so we can write it down as x%=7.08.
5. Now we have two simple equations:
1) 100%=10540.08
2) x%=7.08
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%=10540.08/7.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.08 is what percent of 10540.08

100%/x%=10540.08/7.08
(100/x)*x=(10540.08/7.08)*x       - we multiply both sides of the equation by x
100=1488.7118644068*x       - we divide both sides of the equation by (1488.7118644068) to get x
100/1488.7118644068=x
0.067172165676162=x
x=0.067172165676162

now we have:
7.08 is 0.067172165676162% of 10540.08