35.43 is what percent of 39.37 - 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 39.37 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 39.37, so we can write it down as 100%=39.37.
4. We know, that x% equals 35.43 of the output value, so we can write it down as x%=35.43.
5. Now we have two simple equations:
1) 100%=39.37
2) x%=35.43
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%=39.37/35.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.43 is what percent of 39.37

100%/x%=39.37/35.43
(100/x)*x=(39.37/35.43)*x       - we multiply both sides of the equation by x
100=1.111205193339*x       - we divide both sides of the equation by (1.111205193339) to get x
100/1.111205193339=x
89.99237998476=x
x=89.99237998476

now we have:
35.43 is 89.99237998476% of 39.37