60.9 is what percent of 11.57 - 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 11.57 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 11.57, so we can write it down as 100%=11.57.
4. We know, that x% equals 60.9 of the output value, so we can write it down as x%=60.9.
5. Now we have two simple equations:
1) 100%=11.57
2) x%=60.9
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%=11.57/60.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 60.9 is what percent of 11.57

100%/x%=11.57/60.9
(100/x)*x=(11.57/60.9)*x       - we multiply both sides of the equation by x
100=0.18998357963875*x       - we divide both sides of the equation by (0.18998357963875) to get x
100/0.18998357963875=x
526.36127917027=x
x=526.36127917027

now we have:
60.9 is 526.36127917027% of 11.57