42.86 is what percent of 357.14 - 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 357.14 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 357.14, so we can write it down as 100%=357.14.
4. We know, that x% equals 42.86 of the output value, so we can write it down as x%=42.86.
5. Now we have two simple equations:
1) 100%=357.14
2) x%=42.86
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%=357.14/42.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.86 is what percent of 357.14

100%/x%=357.14/42.86
(100/x)*x=(357.14/42.86)*x       - we multiply both sides of the equation by x
100=8.3327111525898*x       - we divide both sides of the equation by (8.3327111525898) to get x
100/8.3327111525898=x
12.000896007168=x
x=12.000896007168

now we have:
42.86 is 12.000896007168% of 357.14