89.6 is what percent of 132.6 - 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 132.6 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 132.6, so we can write it down as 100%=132.6.
4. We know, that x% equals 89.6 of the output value, so we can write it down as x%=89.6.
5. Now we have two simple equations:
1) 100%=132.6
2) x%=89.6
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%=132.6/89.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89.6 is what percent of 132.6

100%/x%=132.6/89.6
(100/x)*x=(132.6/89.6)*x       - we multiply both sides of the equation by x
100=1.4799107142857*x       - we divide both sides of the equation by (1.4799107142857) to get x
100/1.4799107142857=x
67.571644042232=x
x=67.571644042232

now we have:
89.6 is 67.571644042232% of 132.6