35.53 is what percent of 1252 - 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 1252 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 1252, so we can write it down as 100%=1252.
4. We know, that x% equals 35.53 of the output value, so we can write it down as x%=35.53.
5. Now we have two simple equations:
1) 100%=1252
2) x%=35.53
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%=1252/35.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.53 is what percent of 1252

100%/x%=1252/35.53
(100/x)*x=(1252/35.53)*x       - we multiply both sides of the equation by x
100=35.237827188292*x       - we divide both sides of the equation by (35.237827188292) to get x
100/35.237827188292=x
2.8378594249201=x
x=2.8378594249201

now we have:
35.53 is 2.8378594249201% of 1252