476.85 is what percent of 760.03 - 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 760.03 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 760.03, so we can write it down as 100%=760.03.
4. We know, that x% equals 476.85 of the output value, so we can write it down as x%=476.85.
5. Now we have two simple equations:
1) 100%=760.03
2) x%=476.85
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%=760.03/476.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 476.85 is what percent of 760.03

100%/x%=760.03/476.85
(100/x)*x=(760.03/476.85)*x       - we multiply both sides of the equation by x
100=1.5938555101185*x       - we divide both sides of the equation by (1.5938555101185) to get x
100/1.5938555101185=x
62.740944436404=x
x=62.740944436404

now we have:
476.85 is 62.740944436404% of 760.03