42.6 is what percent of 138.46 - 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 138.46 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 138.46, so we can write it down as 100%=138.46.
4. We know, that x% equals 42.6 of the output value, so we can write it down as x%=42.6.
5. Now we have two simple equations:
1) 100%=138.46
2) x%=42.6
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%=138.46/42.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.6 is what percent of 138.46

100%/x%=138.46/42.6
(100/x)*x=(138.46/42.6)*x       - we multiply both sides of the equation by x
100=3.250234741784*x       - we divide both sides of the equation by (3.250234741784) to get x
100/3.250234741784=x
30.767008522317=x
x=30.767008522317

now we have:
42.6 is 30.767008522317% of 138.46