35.33 is what percent of 49.06 - 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 49.06 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 49.06, so we can write it down as 100%=49.06.
4. We know, that x% equals 35.33 of the output value, so we can write it down as x%=35.33.
5. Now we have two simple equations:
1) 100%=49.06
2) x%=35.33
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%=49.06/35.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.33 is what percent of 49.06

100%/x%=49.06/35.33
(100/x)*x=(49.06/35.33)*x       - we multiply both sides of the equation by x
100=1.3886215680725*x       - we divide both sides of the equation by (1.3886215680725) to get x
100/1.3886215680725=x
72.013860578883=x
x=72.013860578883

now we have:
35.33 is 72.013860578883% of 49.06