What is 78 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 49.99 is 100%, so we can write it down as 49.99=100%.
4. We know, that x is 78% of the output value, so we can write it down as x=78%.
5. Now we have two simple equations:
1) 49.99=100%
2) x=78%
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:
49.99/x=100%/78%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 78% of 49.99

49.99/x=100/78
(49.99/x)*x=(100/78)*x       - we multiply both sides of the equation by x
49.99=1.2820512820513*x       - we divide both sides of the equation by (1.2820512820513) to get x
49.99/1.2820512820513=x
38.9922=x
x=38.9922

now we have:
78% of 49.99=38.9922