7.85 is what percent of 42 - 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 42 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 42, so we can write it down as 100%=42.
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%=42
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%=42/7.85
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 42

100%/x%=42/7.85
(100/x)*x=(42/7.85)*x       - we multiply both sides of the equation by x
100=5.3503184713376*x       - we divide both sides of the equation by (5.3503184713376) to get x
100/5.3503184713376=x
18.690476190476=x
x=18.690476190476

now we have:
7.85 is 18.690476190476% of 42