53.83 is what percent of 376.84 - 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 376.84 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 376.84, so we can write it down as 100%=376.84.
4. We know, that x% equals 53.83 of the output value, so we can write it down as x%=53.83.
5. Now we have two simple equations:
1) 100%=376.84
2) x%=53.83
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%=376.84/53.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.83 is what percent of 376.84

100%/x%=376.84/53.83
(100/x)*x=(376.84/53.83)*x       - we multiply both sides of the equation by x
100=7.0005573100502*x       - we divide both sides of the equation by (7.0005573100502) to get x
100/7.0005573100502=x
14.28457700881=x
x=14.28457700881

now we have:
53.83 is 14.28457700881% of 376.84