1.76 is what percent of 13.698 - 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 13.698 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 13.698, so we can write it down as 100%=13.698.
4. We know, that x% equals 1.76 of the output value, so we can write it down as x%=1.76.
5. Now we have two simple equations:
1) 100%=13.698
2) x%=1.76
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%=13.698/1.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.76 is what percent of 13.698

100%/x%=13.698/1.76
(100/x)*x=(13.698/1.76)*x       - we multiply both sides of the equation by x
100=7.7829545454545*x       - we divide both sides of the equation by (7.7829545454545) to get x
100/7.7829545454545=x
12.848591035188=x
x=12.848591035188

now we have:
1.76 is 12.848591035188% of 13.698