60 is what percent of 2198 - 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 2198 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 2198, so we can write it down as 100%=2198.
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%=2198
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%=2198/60
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 2198

100%/x%=2198/60
(100/x)*x=(2198/60)*x       - we multiply both sides of the equation by x
100=36.633333333333*x       - we divide both sides of the equation by (36.633333333333) to get x
100/36.633333333333=x
2.729754322111=x
x=2.729754322111

now we have:
60 is 2.729754322111% of 2198