8.54 is what percent of 70 - 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 70 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 70, so we can write it down as 100%=70.
4. We know, that x% equals 8.54 of the output value, so we can write it down as x%=8.54.
5. Now we have two simple equations:
1) 100%=70
2) x%=8.54
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%=70/8.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.54 is what percent of 70

100%/x%=70/8.54
(100/x)*x=(70/8.54)*x       - we multiply both sides of the equation by x
100=8.1967213114754*x       - we divide both sides of the equation by (8.1967213114754) to get x
100/8.1967213114754=x
12.2=x
x=12.2

now we have:
8.54 is 12.2% of 70