438.35 is what percent of 670.59 - 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 670.59 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 670.59, so we can write it down as 100%=670.59.
4. We know, that x% equals 438.35 of the output value, so we can write it down as x%=438.35.
5. Now we have two simple equations:
1) 100%=670.59
2) x%=438.35
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%=670.59/438.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 438.35 is what percent of 670.59

100%/x%=670.59/438.35
(100/x)*x=(670.59/438.35)*x       - we multiply both sides of the equation by x
100=1.5298049503821*x       - we divide both sides of the equation by (1.5298049503821) to get x
100/1.5298049503821=x
65.367810435587=x
x=65.367810435587

now we have:
438.35 is 65.367810435587% of 670.59