119.99 is what percent of 78.12 - 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 78.12 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 78.12, so we can write it down as 100%=78.12.
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%=78.12
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%=78.12/119.99
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 78.12

100%/x%=78.12/119.99
(100/x)*x=(78.12/119.99)*x       - we multiply both sides of the equation by x
100=0.65105425452121*x       - we divide both sides of the equation by (0.65105425452121) to get x
100/0.65105425452121=x
153.59703020993=x
x=153.59703020993

now we have:
119.99 is 153.59703020993% of 78.12