872.42 is what percent of 4667.54 - 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 4667.54 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 4667.54, so we can write it down as 100%=4667.54.
4. We know, that x% equals 872.42 of the output value, so we can write it down as x%=872.42.
5. Now we have two simple equations:
1) 100%=4667.54
2) x%=872.42
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%=4667.54/872.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 872.42 is what percent of 4667.54

100%/x%=4667.54/872.42
(100/x)*x=(4667.54/872.42)*x       - we multiply both sides of the equation by x
100=5.3501066000321*x       - we divide both sides of the equation by (5.3501066000321) to get x
100/5.3501066000321=x
18.691216358082=x
x=18.691216358082

now we have:
872.42 is 18.691216358082% of 4667.54