147.55 is what percent of 368.89 - 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 368.89 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 368.89, so we can write it down as 100%=368.89.
4. We know, that x% equals 147.55 of the output value, so we can write it down as x%=147.55.
5. Now we have two simple equations:
1) 100%=368.89
2) x%=147.55
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%=368.89/147.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 147.55 is what percent of 368.89

100%/x%=368.89/147.55
(100/x)*x=(368.89/147.55)*x       - we multiply both sides of the equation by x
100=2.5001016604541*x       - we divide both sides of the equation by (2.5001016604541) to get x
100/2.5001016604541=x
39.998373498875=x
x=39.998373498875

now we have:
147.55 is 39.998373498875% of 368.89