What is 89.7 percent of 99.9 - 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 99.9 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 99.9 is 100%, so we can write it down as 99.9=100%.
4. We know, that x is 89.7% of the output value, so we can write it down as x=89.7%.
5. Now we have two simple equations:
1) 99.9=100%
2) x=89.7%
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:
99.9/x=100%/89.7%
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 89.7% of 99.9

99.9/x=100/89.7
(99.9/x)*x=(100/89.7)*x       - we multiply both sides of the equation by x
99.9=1.1148272017837*x       - we divide both sides of the equation by (1.1148272017837) to get x
99.9/1.1148272017837=x
89.6103=x
x=89.6103

now we have:
89.7% of 99.9=89.6103