What is 1.98 percent of 1946 - 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 1946 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 1946 is 100%, so we can write it down as 1946=100%.
4. We know, that x is 1.98% of the output value, so we can write it down as x=1.98%.
5. Now we have two simple equations:
1) 1946=100%
2) x=1.98%
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:
1946/x=100%/1.98%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 1.98% of 1946

1946/x=100/1.98
(1946/x)*x=(100/1.98)*x       - we multiply both sides of the equation by x
1946=50.505050505051*x       - we divide both sides of the equation by (50.505050505051) to get x
1946/50.505050505051=x
38.5308=x
x=38.5308

now we have:
1.98% of 1946=38.5308