9.99 is what percent of 17.93 - 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 17.93 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 17.93, so we can write it down as 100%=17.93.
4. We know, that x% equals 9.99 of the output value, so we can write it down as x%=9.99.
5. Now we have two simple equations:
1) 100%=17.93
2) x%=9.99
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%=17.93/9.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.99 is what percent of 17.93

100%/x%=17.93/9.99
(100/x)*x=(17.93/9.99)*x       - we multiply both sides of the equation by x
100=1.7947947947948*x       - we divide both sides of the equation by (1.7947947947948) to get x
100/1.7947947947948=x
55.716675962075=x
x=55.716675962075

now we have:
9.99 is 55.716675962075% of 17.93