3.18 is what percent of 846.93 - 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 846.93 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 846.93, so we can write it down as 100%=846.93.
4. We know, that x% equals 3.18 of the output value, so we can write it down as x%=3.18.
5. Now we have two simple equations:
1) 100%=846.93
2) x%=3.18
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%=846.93/3.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.18 is what percent of 846.93

100%/x%=846.93/3.18
(100/x)*x=(846.93/3.18)*x       - we multiply both sides of the equation by x
100=266.33018867925*x       - we divide both sides of the equation by (266.33018867925) to get x
100/266.33018867925=x
0.37547376996918=x
x=0.37547376996918

now we have:
3.18 is 0.37547376996918% of 846.93