387.19 is what percent of 464.43 - 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 464.43 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 464.43, so we can write it down as 100%=464.43.
4. We know, that x% equals 387.19 of the output value, so we can write it down as x%=387.19.
5. Now we have two simple equations:
1) 100%=464.43
2) x%=387.19
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%=464.43/387.19
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 387.19 is what percent of 464.43

100%/x%=464.43/387.19
(100/x)*x=(464.43/387.19)*x       - we multiply both sides of the equation by x
100=1.1994886231566*x       - we divide both sides of the equation by (1.1994886231566) to get x
100/1.1994886231566=x
83.368860754043=x
x=83.368860754043

now we have:
387.19 is 83.368860754043% of 464.43