899.44 is what percent of 7458.15 - 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 7458.15 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 7458.15, so we can write it down as 100%=7458.15.
4. We know, that x% equals 899.44 of the output value, so we can write it down as x%=899.44.
5. Now we have two simple equations:
1) 100%=7458.15
2) x%=899.44
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%=7458.15/899.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 899.44 is what percent of 7458.15

100%/x%=7458.15/899.44
(100/x)*x=(7458.15/899.44)*x       - we multiply both sides of the equation by x
100=8.2919927955172*x       - we divide both sides of the equation by (8.2919927955172) to get x
100/8.2919927955172=x
12.059827168936=x
x=12.059827168936

now we have:
899.44 is 12.059827168936% of 7458.15