35.42 is what percent of 5637.22 - 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 5637.22 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 5637.22, so we can write it down as 100%=5637.22.
4. We know, that x% equals 35.42 of the output value, so we can write it down as x%=35.42.
5. Now we have two simple equations:
1) 100%=5637.22
2) x%=35.42
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%=5637.22/35.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.42 is what percent of 5637.22

100%/x%=5637.22/35.42
(100/x)*x=(5637.22/35.42)*x       - we multiply both sides of the equation by x
100=159.15358554489*x       - we divide both sides of the equation by (159.15358554489) to get x
100/159.15358554489=x
0.62832389014443=x
x=0.62832389014443

now we have:
35.42 is 0.62832389014443% of 5637.22