What is 90.33 percent of 107 - 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 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 is 100%, so we can write it down as 107=100%.
4. We know, that x is 90.33% of the output value, so we can write it down as x=90.33%.
5. Now we have two simple equations:
1) 107=100%
2) x=90.33%
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/x=100%/90.33%
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 90.33% of 107

107/x=100/90.33
(107/x)*x=(100/90.33)*x       - we multiply both sides of the equation by x
107=1.1070519207351*x       - we divide both sides of the equation by (1.1070519207351) to get x
107/1.1070519207351=x
96.6531=x
x=96.6531

now we have:
90.33% of 107=96.6531