271.83 is what percent of 690.8 - 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 690.8 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 690.8, so we can write it down as 100%=690.8.
4. We know, that x% equals 271.83 of the output value, so we can write it down as x%=271.83.
5. Now we have two simple equations:
1) 100%=690.8
2) x%=271.83
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%=690.8/271.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 271.83 is what percent of 690.8

100%/x%=690.8/271.83
(100/x)*x=(690.8/271.83)*x       - we multiply both sides of the equation by x
100=2.5412941912225*x       - we divide both sides of the equation by (2.5412941912225) to get x
100/2.5412941912225=x
39.35002895194=x
x=39.35002895194

now we have:
271.83 is 39.35002895194% of 690.8