60 is what percent of 5166 - 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 5166 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 5166, so we can write it down as 100%=5166.
4. We know, that x% equals 60 of the output value, so we can write it down as x%=60.
5. Now we have two simple equations:
1) 100%=5166
2) x%=60
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%=5166/60
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 60 is what percent of 5166

100%/x%=5166/60
(100/x)*x=(5166/60)*x       - we multiply both sides of the equation by x
100=86.1*x       - we divide both sides of the equation by (86.1) to get x
100/86.1=x
1.1614401858304=x
x=1.1614401858304

now we have:
60 is 1.1614401858304% of 5166