53 is what percent of 37.8 - 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 37.8 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 37.8, so we can write it down as 100%=37.8.
4. We know, that x% equals 53 of the output value, so we can write it down as x%=53.
5. Now we have two simple equations:
1) 100%=37.8
2) x%=53
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%=37.8/53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53 is what percent of 37.8

100%/x%=37.8/53
(100/x)*x=(37.8/53)*x       - we multiply both sides of the equation by x
100=0.71320754716981*x       - we divide both sides of the equation by (0.71320754716981) to get x
100/0.71320754716981=x
140.21164021164=x
x=140.21164021164

now we have:
53 is 140.21164021164% of 37.8