230.06 is what percent of 687.66 - 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 687.66 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 687.66, so we can write it down as 100%=687.66.
4. We know, that x% equals 230.06 of the output value, so we can write it down as x%=230.06.
5. Now we have two simple equations:
1) 100%=687.66
2) x%=230.06
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%=687.66/230.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 230.06 is what percent of 687.66

100%/x%=687.66/230.06
(100/x)*x=(687.66/230.06)*x       - we multiply both sides of the equation by x
100=2.9890463357385*x       - we divide both sides of the equation by (2.9890463357385) to get x
100/2.9890463357385=x
33.45548672309=x
x=33.45548672309

now we have:
230.06 is 33.45548672309% of 687.66