45.7 is what percent of 279.35 - 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 279.35 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 279.35, so we can write it down as 100%=279.35.
4. We know, that x% equals 45.7 of the output value, so we can write it down as x%=45.7.
5. Now we have two simple equations:
1) 100%=279.35
2) x%=45.7
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:
100%/x%=279.35/45.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.7 is what percent of 279.35

100%/x%=279.35/45.7
(100/x)*x=(279.35/45.7)*x       - we multiply both sides of the equation by x
100=6.1126914660832*x       - we divide both sides of the equation by (6.1126914660832) to get x
100/6.1126914660832=x
16.359405763379=x
x=16.359405763379

now we have:
45.7 is 16.359405763379% of 279.35