13.6 is what percent of 42.94 - 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 42.94 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 42.94, so we can write it down as 100%=42.94.
4. We know, that x% equals 13.6 of the output value, so we can write it down as x%=13.6.
5. Now we have two simple equations:
1) 100%=42.94
2) x%=13.6
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%=42.94/13.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.6 is what percent of 42.94

100%/x%=42.94/13.6
(100/x)*x=(42.94/13.6)*x       - we multiply both sides of the equation by x
100=3.1573529411765*x       - we divide both sides of the equation by (3.1573529411765) to get x
100/3.1573529411765=x
31.672100605496=x
x=31.672100605496

now we have:
13.6 is 31.672100605496% of 42.94