60 is what percent of 2279.83 - 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 2279.83 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 2279.83, so we can write it down as 100%=2279.83.
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%=2279.83
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%=2279.83/60
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 2279.83

100%/x%=2279.83/60
(100/x)*x=(2279.83/60)*x       - we multiply both sides of the equation by x
100=37.997166666667*x       - we divide both sides of the equation by (37.997166666667) to get x
100/37.997166666667=x
2.6317751762193=x
x=2.6317751762193

now we have:
60 is 2.6317751762193% of 2279.83