107.58 is what percent of 978 - 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 978 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 978, so we can write it down as 100%=978.
4. We know, that x% equals 107.58 of the output value, so we can write it down as x%=107.58.
5. Now we have two simple equations:
1) 100%=978
2) x%=107.58
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%=978/107.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 107.58 is what percent of 978

100%/x%=978/107.58
(100/x)*x=(978/107.58)*x       - we multiply both sides of the equation by x
100=9.0909090909091*x       - we divide both sides of the equation by (9.0909090909091) to get x
100/9.0909090909091=x
11=x
x=11

now we have:
107.58 is 11% of 978