12.42 is what percent of 10.557 - 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 10.557 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 10.557, so we can write it down as 100%=10.557.
4. We know, that x% equals 12.42 of the output value, so we can write it down as x%=12.42.
5. Now we have two simple equations:
1) 100%=10.557
2) x%=12.42
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%=10.557/12.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.42 is what percent of 10.557

100%/x%=10.557/12.42
(100/x)*x=(10.557/12.42)*x       - we multiply both sides of the equation by x
100=0.85*x       - we divide both sides of the equation by (0.85) to get x
100/0.85=x
117.64705882353=x
x=117.64705882353

now we have:
12.42 is 117.64705882353% of 10.557