357.99 is what percent of 476.99 - 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 476.99 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 476.99, so we can write it down as 100%=476.99.
4. We know, that x% equals 357.99 of the output value, so we can write it down as x%=357.99.
5. Now we have two simple equations:
1) 100%=476.99
2) x%=357.99
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%=476.99/357.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 357.99 is what percent of 476.99

100%/x%=476.99/357.99
(100/x)*x=(476.99/357.99)*x       - we multiply both sides of the equation by x
100=1.3324115198749*x       - we divide both sides of the equation by (1.3324115198749) to get x
100/1.3324115198749=x
75.051887880249=x
x=75.051887880249

now we have:
357.99 is 75.051887880249% of 476.99