473.05 is what percent of 587.75 - 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 587.75 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 587.75, so we can write it down as 100%=587.75.
4. We know, that x% equals 473.05 of the output value, so we can write it down as x%=473.05.
5. Now we have two simple equations:
1) 100%=587.75
2) x%=473.05
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%=587.75/473.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 473.05 is what percent of 587.75

100%/x%=587.75/473.05
(100/x)*x=(587.75/473.05)*x       - we multiply both sides of the equation by x
100=1.2424690836064*x       - we divide both sides of the equation by (1.2424690836064) to get x
100/1.2424690836064=x
80.484900042535=x
x=80.484900042535

now we have:
473.05 is 80.484900042535% of 587.75