402.97 is what percent of 1780 - 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 1780 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 1780, so we can write it down as 100%=1780.
4. We know, that x% equals 402.97 of the output value, so we can write it down as x%=402.97.
5. Now we have two simple equations:
1) 100%=1780
2) x%=402.97
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%=1780/402.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 402.97 is what percent of 1780

100%/x%=1780/402.97
(100/x)*x=(1780/402.97)*x       - we multiply both sides of the equation by x
100=4.4172022731221*x       - we divide both sides of the equation by (4.4172022731221) to get x
100/4.4172022731221=x
22.638764044944=x
x=22.638764044944

now we have:
402.97 is 22.638764044944% of 1780