135.6 is what percent of 154.4 - 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 154.4 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 154.4, so we can write it down as 100%=154.4.
4. We know, that x% equals 135.6 of the output value, so we can write it down as x%=135.6.
5. Now we have two simple equations:
1) 100%=154.4
2) x%=135.6
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%=154.4/135.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 135.6 is what percent of 154.4

100%/x%=154.4/135.6
(100/x)*x=(154.4/135.6)*x       - we multiply both sides of the equation by x
100=1.1386430678466*x       - we divide both sides of the equation by (1.1386430678466) to get x
100/1.1386430678466=x
87.823834196891=x
x=87.823834196891

now we have:
135.6 is 87.823834196891% of 154.4