37.4 is what percent of 147.7 - 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 147.7 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 147.7, so we can write it down as 100%=147.7.
4. We know, that x% equals 37.4 of the output value, so we can write it down as x%=37.4.
5. Now we have two simple equations:
1) 100%=147.7
2) x%=37.4
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%=147.7/37.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.4 is what percent of 147.7

100%/x%=147.7/37.4
(100/x)*x=(147.7/37.4)*x       - we multiply both sides of the equation by x
100=3.9491978609626*x       - we divide both sides of the equation by (3.9491978609626) to get x
100/3.9491978609626=x
25.321597833446=x
x=25.321597833446

now we have:
37.4 is 25.321597833446% of 147.7