57.67 is what percent of 341.12 - 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 341.12 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 341.12, so we can write it down as 100%=341.12.
4. We know, that x% equals 57.67 of the output value, so we can write it down as x%=57.67.
5. Now we have two simple equations:
1) 100%=341.12
2) x%=57.67
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%=341.12/57.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 57.67 is what percent of 341.12

100%/x%=341.12/57.67
(100/x)*x=(341.12/57.67)*x       - we multiply both sides of the equation by x
100=5.9150338130744*x       - we divide both sides of the equation by (5.9150338130744) to get x
100/5.9150338130744=x
16.906074108818=x
x=16.906074108818

now we have:
57.67 is 16.906074108818% of 341.12