30.21 is what percent of 371.58 - 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 371.58 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 371.58, so we can write it down as 100%=371.58.
4. We know, that x% equals 30.21 of the output value, so we can write it down as x%=30.21.
5. Now we have two simple equations:
1) 100%=371.58
2) x%=30.21
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%=371.58/30.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 30.21 is what percent of 371.58

100%/x%=371.58/30.21
(100/x)*x=(371.58/30.21)*x       - we multiply both sides of the equation by x
100=12.299900695134*x       - we divide both sides of the equation by (12.299900695134) to get x
100/12.299900695134=x
8.1301469400937=x
x=8.1301469400937

now we have:
30.21 is 8.1301469400937% of 371.58