53.16 is what percent of 143.74 - 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 143.74 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 143.74, so we can write it down as 100%=143.74.
4. We know, that x% equals 53.16 of the output value, so we can write it down as x%=53.16.
5. Now we have two simple equations:
1) 100%=143.74
2) x%=53.16
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%=143.74/53.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.16 is what percent of 143.74

100%/x%=143.74/53.16
(100/x)*x=(143.74/53.16)*x       - we multiply both sides of the equation by x
100=2.7039127163281*x       - we divide both sides of the equation by (2.7039127163281) to get x
100/2.7039127163281=x
36.983442326423=x
x=36.983442326423

now we have:
53.16 is 36.983442326423% of 143.74