65.12 is what percent of 119.99 - 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 119.99 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 119.99, so we can write it down as 100%=119.99.
4. We know, that x% equals 65.12 of the output value, so we can write it down as x%=65.12.
5. Now we have two simple equations:
1) 100%=119.99
2) x%=65.12
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%=119.99/65.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.12 is what percent of 119.99

100%/x%=119.99/65.12
(100/x)*x=(119.99/65.12)*x       - we multiply both sides of the equation by x
100=1.8425982800983*x       - we divide both sides of the equation by (1.8425982800983) to get x
100/1.8425982800983=x
54.271189265772=x
x=54.271189265772

now we have:
65.12 is 54.271189265772% of 119.99