1.86 is what percent of 12.42 - 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 12.42 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 12.42, so we can write it down as 100%=12.42.
4. We know, that x% equals 1.86 of the output value, so we can write it down as x%=1.86.
5. Now we have two simple equations:
1) 100%=12.42
2) x%=1.86
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%=12.42/1.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.86 is what percent of 12.42

100%/x%=12.42/1.86
(100/x)*x=(12.42/1.86)*x       - we multiply both sides of the equation by x
100=6.6774193548387*x       - we divide both sides of the equation by (6.6774193548387) to get x
100/6.6774193548387=x
14.975845410628=x
x=14.975845410628

now we have:
1.86 is 14.975845410628% of 12.42