10.97 is what percent of 612.58 - 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 612.58 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 612.58, so we can write it down as 100%=612.58.
4. We know, that x% equals 10.97 of the output value, so we can write it down as x%=10.97.
5. Now we have two simple equations:
1) 100%=612.58
2) x%=10.97
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%=612.58/10.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.97 is what percent of 612.58

100%/x%=612.58/10.97
(100/x)*x=(612.58/10.97)*x       - we multiply both sides of the equation by x
100=55.841385597083*x       - we divide both sides of the equation by (55.841385597083) to get x
100/55.841385597083=x
1.7907865095171=x
x=1.7907865095171

now we have:
10.97 is 1.7907865095171% of 612.58