39.99 is what percent of 155.12 - 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 155.12 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 155.12, so we can write it down as 100%=155.12.
4. We know, that x% equals 39.99 of the output value, so we can write it down as x%=39.99.
5. Now we have two simple equations:
1) 100%=155.12
2) x%=39.99
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%=155.12/39.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.99 is what percent of 155.12

100%/x%=155.12/39.99
(100/x)*x=(155.12/39.99)*x       - we multiply both sides of the equation by x
100=3.8789697424356*x       - we divide both sides of the equation by (3.8789697424356) to get x
100/3.8789697424356=x
25.780041258381=x
x=25.780041258381

now we have:
39.99 is 25.780041258381% of 155.12