277.75 is what percent of 350.2 - 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 350.2 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 350.2, so we can write it down as 100%=350.2.
4. We know, that x% equals 277.75 of the output value, so we can write it down as x%=277.75.
5. Now we have two simple equations:
1) 100%=350.2
2) x%=277.75
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%=350.2/277.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 277.75 is what percent of 350.2

100%/x%=350.2/277.75
(100/x)*x=(350.2/277.75)*x       - we multiply both sides of the equation by x
100=1.2608460846085*x       - we divide both sides of the equation by (1.2608460846085) to get x
100/1.2608460846085=x
79.311821816105=x
x=79.311821816105

now we have:
277.75 is 79.311821816105% of 350.2