39.96 is what percent of 49.99 - 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 49.99 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 49.99, so we can write it down as 100%=49.99.
4. We know, that x% equals 39.96 of the output value, so we can write it down as x%=39.96.
5. Now we have two simple equations:
1) 100%=49.99
2) x%=39.96
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%=49.99/39.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.96 is what percent of 49.99

100%/x%=49.99/39.96
(100/x)*x=(49.99/39.96)*x       - we multiply both sides of the equation by x
100=1.251001001001*x       - we divide both sides of the equation by (1.251001001001) to get x
100/1.251001001001=x
79.935987197439=x
x=79.935987197439

now we have:
39.96 is 79.935987197439% of 49.99