945.72 is what percent of 4.295 - 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 4.295 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 4.295, so we can write it down as 100%=4.295.
4. We know, that x% equals 945.72 of the output value, so we can write it down as x%=945.72.
5. Now we have two simple equations:
1) 100%=4.295
2) x%=945.72
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%=4.295/945.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 945.72 is what percent of 4.295

100%/x%=4.295/945.72
(100/x)*x=(4.295/945.72)*x       - we multiply both sides of the equation by x
100=0.0045415133443302*x       - we divide both sides of the equation by (0.0045415133443302) to get x
100/0.0045415133443302=x
22019.091967404=x
x=22019.091967404

now we have:
945.72 is 22019.091967404% of 4.295