53.7 is what percent of 145.7 - 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 145.7 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 145.7, so we can write it down as 100%=145.7.
4. We know, that x% equals 53.7 of the output value, so we can write it down as x%=53.7.
5. Now we have two simple equations:
1) 100%=145.7
2) x%=53.7
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%=145.7/53.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.7 is what percent of 145.7

100%/x%=145.7/53.7
(100/x)*x=(145.7/53.7)*x       - we multiply both sides of the equation by x
100=2.7132216014898*x       - we divide both sides of the equation by (2.7132216014898) to get x
100/2.7132216014898=x
36.856554564173=x
x=36.856554564173

now we have:
53.7 is 36.856554564173% of 145.7