46 is what percent of 1198 - 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 1198 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 1198, so we can write it down as 100%=1198.
4. We know, that x% equals 46 of the output value, so we can write it down as x%=46.
5. Now we have two simple equations:
1) 100%=1198
2) x%=46
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%=1198/46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46 is what percent of 1198

100%/x%=1198/46
(100/x)*x=(1198/46)*x       - we multiply both sides of the equation by x
100=26.04347826087*x       - we divide both sides of the equation by (26.04347826087) to get x
100/26.04347826087=x
3.8397328881469=x
x=3.8397328881469

now we have:
46 is 3.8397328881469% of 1198