423.53 is what percent of 709.3 - 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 709.3 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 709.3, so we can write it down as 100%=709.3.
4. We know, that x% equals 423.53 of the output value, so we can write it down as x%=423.53.
5. Now we have two simple equations:
1) 100%=709.3
2) x%=423.53
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%=709.3/423.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 423.53 is what percent of 709.3

100%/x%=709.3/423.53
(100/x)*x=(709.3/423.53)*x       - we multiply both sides of the equation by x
100=1.674733785092*x       - we divide both sides of the equation by (1.674733785092) to get x
100/1.674733785092=x
59.71098265896=x
x=59.71098265896

now we have:
423.53 is 59.71098265896% of 709.3