149.4 is what percent of 135.6 - 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 135.6 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 135.6, so we can write it down as 100%=135.6.
4. We know, that x% equals 149.4 of the output value, so we can write it down as x%=149.4.
5. Now we have two simple equations:
1) 100%=135.6
2) x%=149.4
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%=135.6/149.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 149.4 is what percent of 135.6

100%/x%=135.6/149.4
(100/x)*x=(135.6/149.4)*x       - we multiply both sides of the equation by x
100=0.90763052208835*x       - we divide both sides of the equation by (0.90763052208835) to get x
100/0.90763052208835=x
110.17699115044=x
x=110.17699115044

now we have:
149.4 is 110.17699115044% of 135.6