56 is what percent of 149.2 - 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 149.2 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 149.2, so we can write it down as 100%=149.2.
4. We know, that x% equals 56 of the output value, so we can write it down as x%=56.
5. Now we have two simple equations:
1) 100%=149.2
2) x%=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%=149.2/56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 56 is what percent of 149.2

100%/x%=149.2/56
(100/x)*x=(149.2/56)*x       - we multiply both sides of the equation by x
100=2.6642857142857*x       - we divide both sides of the equation by (2.6642857142857) to get x
100/2.6642857142857=x
37.533512064343=x
x=37.533512064343

now we have:
56 is 37.533512064343% of 149.2