18.98 is what percent of 633.8 - 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 633.8 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 633.8, so we can write it down as 100%=633.8.
4. We know, that x% equals 18.98 of the output value, so we can write it down as x%=18.98.
5. Now we have two simple equations:
1) 100%=633.8
2) x%=18.98
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%=633.8/18.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.98 is what percent of 633.8

100%/x%=633.8/18.98
(100/x)*x=(633.8/18.98)*x       - we multiply both sides of the equation by x
100=33.393045310854*x       - we divide both sides of the equation by (33.393045310854) to get x
100/33.393045310854=x
2.9946355317135=x
x=2.9946355317135

now we have:
18.98 is 2.9946355317135% of 633.8