11.7 is what percent of 893.59 - 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 893.59 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 893.59, so we can write it down as 100%=893.59.
4. We know, that x% equals 11.7 of the output value, so we can write it down as x%=11.7.
5. Now we have two simple equations:
1) 100%=893.59
2) x%=11.7
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%=893.59/11.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.7 is what percent of 893.59

100%/x%=893.59/11.7
(100/x)*x=(893.59/11.7)*x       - we multiply both sides of the equation by x
100=76.375213675214*x       - we divide both sides of the equation by (76.375213675214) to get x
100/76.375213675214=x
1.309325305789=x
x=1.309325305789

now we have:
11.7 is 1.309325305789% of 893.59