468.7 is what percent of 589.88 - 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 589.88 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 589.88, so we can write it down as 100%=589.88.
4. We know, that x% equals 468.7 of the output value, so we can write it down as x%=468.7.
5. Now we have two simple equations:
1) 100%=589.88
2) x%=468.7
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%=589.88/468.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 468.7 is what percent of 589.88

100%/x%=589.88/468.7
(100/x)*x=(589.88/468.7)*x       - we multiply both sides of the equation by x
100=1.2585449114572*x       - we divide both sides of the equation by (1.2585449114572) to get x
100/1.2585449114572=x
79.456838679053=x
x=79.456838679053

now we have:
468.7 is 79.456838679053% of 589.88