16.81 is what percent of 420.17 - 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 420.17 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 420.17, so we can write it down as 100%=420.17.
4. We know, that x% equals 16.81 of the output value, so we can write it down as x%=16.81.
5. Now we have two simple equations:
1) 100%=420.17
2) x%=16.81
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%=420.17/16.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.81 is what percent of 420.17

100%/x%=420.17/16.81
(100/x)*x=(420.17/16.81)*x       - we multiply both sides of the equation by x
100=24.995240928019*x       - we divide both sides of the equation by (24.995240928019) to get x
100/24.995240928019=x
4.0007615964967=x
x=4.0007615964967

now we have:
16.81 is 4.0007615964967% of 420.17