13.46 is what percent of 89.71 - 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 89.71 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 89.71, so we can write it down as 100%=89.71.
4. We know, that x% equals 13.46 of the output value, so we can write it down as x%=13.46.
5. Now we have two simple equations:
1) 100%=89.71
2) x%=13.46
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%=89.71/13.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.46 is what percent of 89.71

100%/x%=89.71/13.46
(100/x)*x=(89.71/13.46)*x       - we multiply both sides of the equation by x
100=6.6649331352155*x       - we divide both sides of the equation by (6.6649331352155) to get x
100/6.6649331352155=x
15.003901460261=x
x=15.003901460261

now we have:
13.46 is 15.003901460261% of 89.71