89.56 is what percent of 755 - 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 755 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 755, so we can write it down as 100%=755.
4. We know, that x% equals 89.56 of the output value, so we can write it down as x%=89.56.
5. Now we have two simple equations:
1) 100%=755
2) x%=89.56
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%=755/89.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89.56 is what percent of 755

100%/x%=755/89.56
(100/x)*x=(755/89.56)*x       - we multiply both sides of the equation by x
100=8.4301027244305*x       - we divide both sides of the equation by (8.4301027244305) to get x
100/8.4301027244305=x
11.862251655629=x
x=11.862251655629

now we have:
89.56 is 11.862251655629% of 755