45 is what percent of 846 - 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 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, so we can write it down as 100%=846.
4. We know, that x% equals 45 of the output value, so we can write it down as x%=45.
5. Now we have two simple equations:
1) 100%=846
2) x%=45
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%=846/45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45 is what percent of 846

100%/x%=846/45
(100/x)*x=(846/45)*x       - we multiply both sides of the equation by x
100=18.8*x       - we divide both sides of the equation by (18.8) to get x
100/18.8=x
5.3191489361702=x
x=5.3191489361702

now we have:
45 is 5.3191489361702% of 846