35.01 is what percent of 73.72 - 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 73.72 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 73.72, so we can write it down as 100%=73.72.
4. We know, that x% equals 35.01 of the output value, so we can write it down as x%=35.01.
5. Now we have two simple equations:
1) 100%=73.72
2) x%=35.01
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%=73.72/35.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.01 is what percent of 73.72

100%/x%=73.72/35.01
(100/x)*x=(73.72/35.01)*x       - we multiply both sides of the equation by x
100=2.1056840902599*x       - we divide both sides of the equation by (2.1056840902599) to get x
100/2.1056840902599=x
47.490504612046=x
x=47.490504612046

now we have:
35.01 is 47.490504612046% of 73.72