46.04 is what percent of 2678.1 - 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 2678.1 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 2678.1, so we can write it down as 100%=2678.1.
4. We know, that x% equals 46.04 of the output value, so we can write it down as x%=46.04.
5. Now we have two simple equations:
1) 100%=2678.1
2) x%=46.04
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%=2678.1/46.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.04 is what percent of 2678.1

100%/x%=2678.1/46.04
(100/x)*x=(2678.1/46.04)*x       - we multiply both sides of the equation by x
100=58.168983492615*x       - we divide both sides of the equation by (58.168983492615) to get x
100/58.168983492615=x
1.7191292334117=x
x=1.7191292334117

now we have:
46.04 is 1.7191292334117% of 2678.1