46.5 is what percent of 980 - 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 980 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 980, so we can write it down as 100%=980.
4. We know, that x% equals 46.5 of the output value, so we can write it down as x%=46.5.
5. Now we have two simple equations:
1) 100%=980
2) x%=46.5
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%=980/46.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.5 is what percent of 980

100%/x%=980/46.5
(100/x)*x=(980/46.5)*x       - we multiply both sides of the equation by x
100=21.075268817204*x       - we divide both sides of the equation by (21.075268817204) to get x
100/21.075268817204=x
4.7448979591837=x
x=4.7448979591837

now we have:
46.5 is 4.7448979591837% of 980