268.6 is what percent of 835.7 - 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 835.7 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 835.7, so we can write it down as 100%=835.7.
4. We know, that x% equals 268.6 of the output value, so we can write it down as x%=268.6.
5. Now we have two simple equations:
1) 100%=835.7
2) x%=268.6
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%=835.7/268.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 268.6 is what percent of 835.7

100%/x%=835.7/268.6
(100/x)*x=(835.7/268.6)*x       - we multiply both sides of the equation by x
100=3.1113179448995*x       - we divide both sides of the equation by (3.1113179448995) to get x
100/3.1113179448995=x
32.140720354194=x
x=32.140720354194

now we have:
268.6 is 32.140720354194% of 835.7