26.6 is what percent of 149.4 - 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 149.4 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 149.4, so we can write it down as 100%=149.4.
4. We know, that x% equals 26.6 of the output value, so we can write it down as x%=26.6.
5. Now we have two simple equations:
1) 100%=149.4
2) x%=26.6
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%=149.4/26.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.6 is what percent of 149.4

100%/x%=149.4/26.6
(100/x)*x=(149.4/26.6)*x       - we multiply both sides of the equation by x
100=5.6165413533835*x       - we divide both sides of the equation by (5.6165413533835) to get x
100/5.6165413533835=x
17.804551539491=x
x=17.804551539491

now we have:
26.6 is 17.804551539491% of 149.4