270.99 is what percent of 350.64 - 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 350.64 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 350.64, so we can write it down as 100%=350.64.
4. We know, that x% equals 270.99 of the output value, so we can write it down as x%=270.99.
5. Now we have two simple equations:
1) 100%=350.64
2) x%=270.99
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%=350.64/270.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 270.99 is what percent of 350.64

100%/x%=350.64/270.99
(100/x)*x=(350.64/270.99)*x       - we multiply both sides of the equation by x
100=1.2939222849552*x       - we divide both sides of the equation by (1.2939222849552) to get x
100/1.2939222849552=x
77.284394250513=x
x=77.284394250513

now we have:
270.99 is 77.284394250513% of 350.64