89.06 is what percent of 100 - 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 100 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 100, so we can write it down as 100%=100.
4. We know, that x% equals 89.06 of the output value, so we can write it down as x%=89.06.
5. Now we have two simple equations:
1) 100%=100
2) x%=89.06
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%=100/89.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89.06 is what percent of 100

100%/x%=100/89.06
(100/x)*x=(100/89.06)*x       - we multiply both sides of the equation by x
100=1.1228385358185*x       - we divide both sides of the equation by (1.1228385358185) to get x
100/1.1228385358185=x
89.06=x
x=89.06

now we have:
89.06 is 89.06% of 100