53.5 is what percent of 83.5 - 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 83.5 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 83.5, so we can write it down as 100%=83.5.
4. We know, that x% equals 53.5 of the output value, so we can write it down as x%=53.5.
5. Now we have two simple equations:
1) 100%=83.5
2) x%=53.5
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%=83.5/53.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.5 is what percent of 83.5

100%/x%=83.5/53.5
(100/x)*x=(83.5/53.5)*x       - we multiply both sides of the equation by x
100=1.5607476635514*x       - we divide both sides of the equation by (1.5607476635514) to get x
100/1.5607476635514=x
64.071856287425=x
x=64.071856287425

now we have:
53.5 is 64.071856287425% of 83.5