89.56 is what percent of 123.39 - 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 123.39 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 123.39, so we can write it down as 100%=123.39.
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%=123.39
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%=123.39/89.56
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 123.39

100%/x%=123.39/89.56
(100/x)*x=(123.39/89.56)*x       - we multiply both sides of the equation by x
100=1.3777355962483*x       - we divide both sides of the equation by (1.3777355962483) to get x
100/1.3777355962483=x
72.582867331226=x
x=72.582867331226

now we have:
89.56 is 72.582867331226% of 123.39