7.85 is what percent of 38.11 - 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 38.11 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 38.11, so we can write it down as 100%=38.11.
4. We know, that x% equals 7.85 of the output value, so we can write it down as x%=7.85.
5. Now we have two simple equations:
1) 100%=38.11
2) x%=7.85
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%=38.11/7.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.85 is what percent of 38.11

100%/x%=38.11/7.85
(100/x)*x=(38.11/7.85)*x       - we multiply both sides of the equation by x
100=4.8547770700637*x       - we divide both sides of the equation by (4.8547770700637) to get x
100/4.8547770700637=x
20.598268171084=x
x=20.598268171084

now we have:
7.85 is 20.598268171084% of 38.11