46.99 is what percent of 19.99 - 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 19.99 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 19.99, so we can write it down as 100%=19.99.
4. We know, that x% equals 46.99 of the output value, so we can write it down as x%=46.99.
5. Now we have two simple equations:
1) 100%=19.99
2) x%=46.99
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%=19.99/46.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.99 is what percent of 19.99

100%/x%=19.99/46.99
(100/x)*x=(19.99/46.99)*x       - we multiply both sides of the equation by x
100=0.42540966163013*x       - we divide both sides of the equation by (0.42540966163013) to get x
100/0.42540966163013=x
235.06753376688=x
x=235.06753376688

now we have:
46.99 is 235.06753376688% of 19.99