97.62 is what percent of 905.37 - 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 905.37 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 905.37, so we can write it down as 100%=905.37.
4. We know, that x% equals 97.62 of the output value, so we can write it down as x%=97.62.
5. Now we have two simple equations:
1) 100%=905.37
2) x%=97.62
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%=905.37/97.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.62 is what percent of 905.37

100%/x%=905.37/97.62
(100/x)*x=(905.37/97.62)*x       - we multiply both sides of the equation by x
100=9.2744314689613*x       - we divide both sides of the equation by (9.2744314689613) to get x
100/9.2744314689613=x
10.782332085225=x
x=10.782332085225

now we have:
97.62 is 10.782332085225% of 905.37