147.72 is what percent of 376.28 - 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 376.28 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 376.28, so we can write it down as 100%=376.28.
4. We know, that x% equals 147.72 of the output value, so we can write it down as x%=147.72.
5. Now we have two simple equations:
1) 100%=376.28
2) x%=147.72
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%=376.28/147.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 147.72 is what percent of 376.28

100%/x%=376.28/147.72
(100/x)*x=(376.28/147.72)*x       - we multiply both sides of the equation by x
100=2.5472515569997*x       - we divide both sides of the equation by (2.5472515569997) to get x
100/2.5472515569997=x
39.257999362177=x
x=39.257999362177

now we have:
147.72 is 39.257999362177% of 376.28