119.99 is what percent of 819.99 - 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 819.99 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 819.99, so we can write it down as 100%=819.99.
4. We know, that x% equals 119.99 of the output value, so we can write it down as x%=119.99.
5. Now we have two simple equations:
1) 100%=819.99
2) x%=119.99
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%=819.99/119.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 119.99 is what percent of 819.99

100%/x%=819.99/119.99
(100/x)*x=(819.99/119.99)*x       - we multiply both sides of the equation by x
100=6.8338194849571*x       - we divide both sides of the equation by (6.8338194849571) to get x
100/6.8338194849571=x
14.633105281772=x
x=14.633105281772

now we have:
119.99 is 14.633105281772% of 819.99