473.7 is what percent of 590 - 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 590 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 590, so we can write it down as 100%=590.
4. We know, that x% equals 473.7 of the output value, so we can write it down as x%=473.7.
5. Now we have two simple equations:
1) 100%=590
2) x%=473.7
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%=590/473.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 473.7 is what percent of 590

100%/x%=590/473.7
(100/x)*x=(590/473.7)*x       - we multiply both sides of the equation by x
100=1.2455140384209*x       - we divide both sides of the equation by (1.2455140384209) to get x
100/1.2455140384209=x
80.28813559322=x
x=80.28813559322

now we have:
473.7 is 80.28813559322% of 590