10.18 is what percent of 16.99 - 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 16.99 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 16.99, so we can write it down as 100%=16.99.
4. We know, that x% equals 10.18 of the output value, so we can write it down as x%=10.18.
5. Now we have two simple equations:
1) 100%=16.99
2) x%=10.18
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%=16.99/10.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.18 is what percent of 16.99

100%/x%=16.99/10.18
(100/x)*x=(16.99/10.18)*x       - we multiply both sides of the equation by x
100=1.6689587426326*x       - we divide both sides of the equation by (1.6689587426326) to get x
100/1.6689587426326=x
59.917598587404=x
x=59.917598587404

now we have:
10.18 is 59.917598587404% of 16.99