379.93 is what percent of 432.36 - 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 432.36 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 432.36, so we can write it down as 100%=432.36.
4. We know, that x% equals 379.93 of the output value, so we can write it down as x%=379.93.
5. Now we have two simple equations:
1) 100%=432.36
2) x%=379.93
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%=432.36/379.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 379.93 is what percent of 432.36

100%/x%=432.36/379.93
(100/x)*x=(432.36/379.93)*x       - we multiply both sides of the equation by x
100=1.1379991050983*x       - we divide both sides of the equation by (1.1379991050983) to get x
100/1.1379991050983=x
87.873531316496=x
x=87.873531316496

now we have:
379.93 is 87.873531316496% of 432.36