379.97 is what percent of 483.67 - 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 483.67 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 483.67, so we can write it down as 100%=483.67.
4. We know, that x% equals 379.97 of the output value, so we can write it down as x%=379.97.
5. Now we have two simple equations:
1) 100%=483.67
2) x%=379.97
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%=483.67/379.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 379.97 is what percent of 483.67

100%/x%=483.67/379.97
(100/x)*x=(483.67/379.97)*x       - we multiply both sides of the equation by x
100=1.2729162828644*x       - we divide both sides of the equation by (1.2729162828644) to get x
100/1.2729162828644=x
78.559761821076=x
x=78.559761821076

now we have:
379.97 is 78.559761821076% of 483.67