18.99 is what percent of 30.51 - 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 30.51 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 30.51, so we can write it down as 100%=30.51.
4. We know, that x% equals 18.99 of the output value, so we can write it down as x%=18.99.
5. Now we have two simple equations:
1) 100%=30.51
2) x%=18.99
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%=30.51/18.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.99 is what percent of 30.51

100%/x%=30.51/18.99
(100/x)*x=(30.51/18.99)*x       - we multiply both sides of the equation by x
100=1.60663507109*x       - we divide both sides of the equation by (1.60663507109) to get x
100/1.60663507109=x
62.241887905605=x
x=62.241887905605

now we have:
18.99 is 62.241887905605% of 30.51