469.4 is what percent of 670 - 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 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, so we can write it down as 100%=670.
4. We know, that x% equals 469.4 of the output value, so we can write it down as x%=469.4.
5. Now we have two simple equations:
1) 100%=670
2) x%=469.4
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%=670/469.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 469.4 is what percent of 670

100%/x%=670/469.4
(100/x)*x=(670/469.4)*x       - we multiply both sides of the equation by x
100=1.4273540690243*x       - we divide both sides of the equation by (1.4273540690243) to get x
100/1.4273540690243=x
70.059701492537=x
x=70.059701492537

now we have:
469.4 is 70.059701492537% of 670