60 is what percent of 264.87 - 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 264.87 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 264.87, so we can write it down as 100%=264.87.
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%=264.87
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%=264.87/60
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 264.87

100%/x%=264.87/60
(100/x)*x=(264.87/60)*x       - we multiply both sides of the equation by x
100=4.4145*x       - we divide both sides of the equation by (4.4145) to get x
100/4.4145=x
22.652622041001=x
x=22.652622041001

now we have:
60 is 22.652622041001% of 264.87