What is 89.95 percent of 199.95 - 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 199.95 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 199.95 is 100%, so we can write it down as 199.95=100%.
4. We know, that x is 89.95% of the output value, so we can write it down as x=89.95%.
5. Now we have two simple equations:
1) 199.95=100%
2) x=89.95%
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:
199.95/x=100%/89.95%
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 89.95% of 199.95

199.95/x=100/89.95
(199.95/x)*x=(100/89.95)*x       - we multiply both sides of the equation by x
199.95=1.1117287381879*x       - we divide both sides of the equation by (1.1117287381879) to get x
199.95/1.1117287381879=x
179.855025=x
x=179.855025

now we have:
89.95% of 199.95=179.855025