4.92 is what percent of 35.59 - 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 35.59 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 35.59, so we can write it down as 100%=35.59.
4. We know, that x% equals 4.92 of the output value, so we can write it down as x%=4.92.
5. Now we have two simple equations:
1) 100%=35.59
2) x%=4.92
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%=35.59/4.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.92 is what percent of 35.59

100%/x%=35.59/4.92
(100/x)*x=(35.59/4.92)*x       - we multiply both sides of the equation by x
100=7.2337398373984*x       - we divide both sides of the equation by (7.2337398373984) to get x
100/7.2337398373984=x
13.824107895476=x
x=13.824107895476

now we have:
4.92 is 13.824107895476% of 35.59