421.64 is what percent of 750 - 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 750 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 750, so we can write it down as 100%=750.
4. We know, that x% equals 421.64 of the output value, so we can write it down as x%=421.64.
5. Now we have two simple equations:
1) 100%=750
2) x%=421.64
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%=750/421.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 421.64 is what percent of 750

100%/x%=750/421.64
(100/x)*x=(750/421.64)*x       - we multiply both sides of the equation by x
100=1.7787686177782*x       - we divide both sides of the equation by (1.7787686177782) to get x
100/1.7787686177782=x
56.218666666667=x
x=56.218666666667

now we have:
421.64 is 56.218666666667% of 750