135.66 is what percent of 298 - 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 298 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 298, so we can write it down as 100%=298.
4. We know, that x% equals 135.66 of the output value, so we can write it down as x%=135.66.
5. Now we have two simple equations:
1) 100%=298
2) x%=135.66
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%=298/135.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 135.66 is what percent of 298

100%/x%=298/135.66
(100/x)*x=(298/135.66)*x       - we multiply both sides of the equation by x
100=2.1966681409406*x       - we divide both sides of the equation by (2.1966681409406) to get x
100/2.1966681409406=x
45.523489932886=x
x=45.523489932886

now we have:
135.66 is 45.523489932886% of 298