31.34 is what percent of 3.66 - 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 3.66 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 3.66, so we can write it down as 100%=3.66.
4. We know, that x% equals 31.34 of the output value, so we can write it down as x%=31.34.
5. Now we have two simple equations:
1) 100%=3.66
2) x%=31.34
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%=3.66/31.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.34 is what percent of 3.66

100%/x%=3.66/31.34
(100/x)*x=(3.66/31.34)*x       - we multiply both sides of the equation by x
100=0.11678366305041*x       - we divide both sides of the equation by (0.11678366305041) to get x
100/0.11678366305041=x
856.28415300546=x
x=856.28415300546

now we have:
31.34 is 856.28415300546% of 3.66