What is 89.25 percent of 102.25 - 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 102.25 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 102.25 is 100%, so we can write it down as 102.25=100%.
4. We know, that x is 89.25% of the output value, so we can write it down as x=89.25%.
5. Now we have two simple equations:
1) 102.25=100%
2) x=89.25%
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:
102.25/x=100%/89.25%
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 89.25% of 102.25

102.25/x=100/89.25
(102.25/x)*x=(100/89.25)*x       - we multiply both sides of the equation by x
102.25=1.1204481792717*x       - we divide both sides of the equation by (1.1204481792717) to get x
102.25/1.1204481792717=x
91.258125=x
x=91.258125

now we have:
89.25% of 102.25=91.258125