89.23 is what percent of 812.5 - 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 812.5 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 100% equals 812.5, so we can write it down as 100%=812.5.
4. We know, that x% equals 89.23 of the output value, so we can write it down as x%=89.23.
5. Now we have two simple equations:
1) 100%=812.5
2) x%=89.23
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:
100%/x%=812.5/89.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89.23 is what percent of 812.5

100%/x%=812.5/89.23
(100/x)*x=(812.5/89.23)*x       - we multiply both sides of the equation by x
100=9.105681945534*x       - we divide both sides of the equation by (9.105681945534) to get x
100/9.105681945534=x
10.982153846154=x
x=10.982153846154

now we have:
89.23 is 10.982153846154% of 812.5