4.26 is what percent of 473 - 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 473 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 473, so we can write it down as 100%=473.
4. We know, that x% equals 4.26 of the output value, so we can write it down as x%=4.26.
5. Now we have two simple equations:
1) 100%=473
2) x%=4.26
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%=473/4.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.26 is what percent of 473

100%/x%=473/4.26
(100/x)*x=(473/4.26)*x       - we multiply both sides of the equation by x
100=111.03286384977*x       - we divide both sides of the equation by (111.03286384977) to get x
100/111.03286384977=x
0.90063424947146=x
x=0.90063424947146

now we have:
4.26 is 0.90063424947146% of 473