468.87 is what percent of 15.68 - 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 15.68 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 15.68, so we can write it down as 100%=15.68.
4. We know, that x% equals 468.87 of the output value, so we can write it down as x%=468.87.
5. Now we have two simple equations:
1) 100%=15.68
2) x%=468.87
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%=15.68/468.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 468.87 is what percent of 15.68

100%/x%=15.68/468.87
(100/x)*x=(15.68/468.87)*x       - we multiply both sides of the equation by x
100=0.033442105487662*x       - we divide both sides of the equation by (0.033442105487662) to get x
100/0.033442105487662=x
2990.2423469388=x
x=2990.2423469388

now we have:
468.87 is 2990.2423469388% of 15.68