153.53 is what percent of 236.77 - 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 236.77 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 236.77, so we can write it down as 100%=236.77.
4. We know, that x% equals 153.53 of the output value, so we can write it down as x%=153.53.
5. Now we have two simple equations:
1) 100%=236.77
2) x%=153.53
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%=236.77/153.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 153.53 is what percent of 236.77

100%/x%=236.77/153.53
(100/x)*x=(236.77/153.53)*x       - we multiply both sides of the equation by x
100=1.5421741679151*x       - we divide both sides of the equation by (1.5421741679151) to get x
100/1.5421741679151=x
64.843519026904=x
x=64.843519026904

now we have:
153.53 is 64.843519026904% of 236.77