What is 0.63 percent of 946 - 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 946 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 946 is 100%, so we can write it down as 946=100%.
4. We know, that x is 0.63% of the output value, so we can write it down as x=0.63%.
5. Now we have two simple equations:
1) 946=100%
2) x=0.63%
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:
946/x=100%/0.63%
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 0.63% of 946

946/x=100/0.63
(946/x)*x=(100/0.63)*x       - we multiply both sides of the equation by x
946=158.73015873016*x       - we divide both sides of the equation by (158.73015873016) to get x
946/158.73015873016=x
5.9598=x
x=5.9598

now we have:
0.63% of 946=5.9598