73.4 is what percent of 48.032 - 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 48.032 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 48.032, so we can write it down as 100%=48.032.
4. We know, that x% equals 73.4 of the output value, so we can write it down as x%=73.4.
5. Now we have two simple equations:
1) 100%=48.032
2) x%=73.4
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%=48.032/73.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 73.4 is what percent of 48.032

100%/x%=48.032/73.4
(100/x)*x=(48.032/73.4)*x       - we multiply both sides of the equation by x
100=0.65438692098093*x       - we divide both sides of the equation by (0.65438692098093) to get x
100/0.65438692098093=x
152.81479013991=x
x=152.81479013991

now we have:
73.4 is 152.81479013991% of 48.032