43.87 is what percent of 363.26 - 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 363.26 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 363.26, so we can write it down as 100%=363.26.
4. We know, that x% equals 43.87 of the output value, so we can write it down as x%=43.87.
5. Now we have two simple equations:
1) 100%=363.26
2) x%=43.87
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%=363.26/43.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.87 is what percent of 363.26

100%/x%=363.26/43.87
(100/x)*x=(363.26/43.87)*x       - we multiply both sides of the equation by x
100=8.2803738317757*x       - we divide both sides of the equation by (8.2803738317757) to get x
100/8.2803738317757=x
12.076749435666=x
x=12.076749435666

now we have:
43.87 is 12.076749435666% of 363.26