60 is what percent of 1165 - 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 1165 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 1165, so we can write it down as 100%=1165.
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%=1165
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%=1165/60
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 1165

100%/x%=1165/60
(100/x)*x=(1165/60)*x       - we multiply both sides of the equation by x
100=19.416666666667*x       - we divide both sides of the equation by (19.416666666667) to get x
100/19.416666666667=x
5.1502145922747=x
x=5.1502145922747

now we have:
60 is 5.1502145922747% of 1165