45 is what percent of 1196 - 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 1196 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 1196, so we can write it down as 100%=1196.
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%=1196
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%=1196/45
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 1196

100%/x%=1196/45
(100/x)*x=(1196/45)*x       - we multiply both sides of the equation by x
100=26.577777777778*x       - we divide both sides of the equation by (26.577777777778) to get x
100/26.577777777778=x
3.7625418060201=x
x=3.7625418060201

now we have:
45 is 3.7625418060201% of 1196