7.14 is what percent of 57.7 - 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 57.7 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 57.7, so we can write it down as 100%=57.7.
4. We know, that x% equals 7.14 of the output value, so we can write it down as x%=7.14.
5. Now we have two simple equations:
1) 100%=57.7
2) x%=7.14
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%=57.7/7.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.14 is what percent of 57.7

100%/x%=57.7/7.14
(100/x)*x=(57.7/7.14)*x       - we multiply both sides of the equation by x
100=8.0812324929972*x       - we divide both sides of the equation by (8.0812324929972) to get x
100/8.0812324929972=x
12.374350086655=x
x=12.374350086655

now we have:
7.14 is 12.374350086655% of 57.7