7.4 is what percent of 150.4 - 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 150.4 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 150.4, so we can write it down as 100%=150.4.
4. We know, that x% equals 7.4 of the output value, so we can write it down as x%=7.4.
5. Now we have two simple equations:
1) 100%=150.4
2) x%=7.4
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%=150.4/7.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.4 is what percent of 150.4

100%/x%=150.4/7.4
(100/x)*x=(150.4/7.4)*x       - we multiply both sides of the equation by x
100=20.324324324324*x       - we divide both sides of the equation by (20.324324324324) to get x
100/20.324324324324=x
4.9202127659574=x
x=4.9202127659574

now we have:
7.4 is 4.9202127659574% of 150.4