138.1 is what percent of 420.7 - 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 420.7 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 420.7, so we can write it down as 100%=420.7.
4. We know, that x% equals 138.1 of the output value, so we can write it down as x%=138.1.
5. Now we have two simple equations:
1) 100%=420.7
2) x%=138.1
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%=420.7/138.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 138.1 is what percent of 420.7

100%/x%=420.7/138.1
(100/x)*x=(420.7/138.1)*x       - we multiply both sides of the equation by x
100=3.0463432295438*x       - we divide both sides of the equation by (3.0463432295438) to get x
100/3.0463432295438=x
32.826241977656=x
x=32.826241977656

now we have:
138.1 is 32.826241977656% of 420.7