What is 46.7 percent of 1002.1 - 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 1002.1 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 1002.1 is 100%, so we can write it down as 1002.1=100%.
4. We know, that x is 46.7% of the output value, so we can write it down as x=46.7%.
5. Now we have two simple equations:
1) 1002.1=100%
2) x=46.7%
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:
1002.1/x=100%/46.7%
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 46.7% of 1002.1

1002.1/x=100/46.7
(1002.1/x)*x=(100/46.7)*x       - we multiply both sides of the equation by x
1002.1=2.1413276231263*x       - we divide both sides of the equation by (2.1413276231263) to get x
1002.1/2.1413276231263=x
467.9807=x
x=467.9807

now we have:
46.7% of 1002.1=467.9807