138.8 is what percent of 43 - 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 43 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 43, so we can write it down as 100%=43.
4. We know, that x% equals 138.8 of the output value, so we can write it down as x%=138.8.
5. Now we have two simple equations:
1) 100%=43
2) x%=138.8
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%=43/138.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 138.8 is what percent of 43

100%/x%=43/138.8
(100/x)*x=(43/138.8)*x       - we multiply both sides of the equation by x
100=0.30979827089337*x       - we divide both sides of the equation by (0.30979827089337) to get x
100/0.30979827089337=x
322.79069767442=x
x=322.79069767442

now we have:
138.8 is 322.79069767442% of 43