What is 79.99 percent of 107.57 - 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 107.57 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 107.57 is 100%, so we can write it down as 107.57=100%.
4. We know, that x is 79.99% of the output value, so we can write it down as x=79.99%.
5. Now we have two simple equations:
1) 107.57=100%
2) x=79.99%
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:
107.57/x=100%/79.99%
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 79.99% of 107.57

107.57/x=100/79.99
(107.57/x)*x=(100/79.99)*x       - we multiply both sides of the equation by x
107.57=1.2501562695337*x       - we divide both sides of the equation by (1.2501562695337) to get x
107.57/1.2501562695337=x
86.045243=x
x=86.045243

now we have:
79.99% of 107.57=86.045243