What is 96.96 percent of 31.51 - 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 31.51 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 31.51 is 100%, so we can write it down as 31.51=100%.
4. We know, that x is 96.96% of the output value, so we can write it down as x=96.96%.
5. Now we have two simple equations:
1) 31.51=100%
2) x=96.96%
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:
31.51/x=100%/96.96%
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 96.96% of 31.51

31.51/x=100/96.96
(31.51/x)*x=(100/96.96)*x       - we multiply both sides of the equation by x
31.51=1.0313531353135*x       - we divide both sides of the equation by (1.0313531353135) to get x
31.51/1.0313531353135=x
30.552096=x
x=30.552096

now we have:
96.96% of 31.51=30.552096