474.2 is what percent of 503.98 - 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 503.98 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 503.98, so we can write it down as 100%=503.98.
4. We know, that x% equals 474.2 of the output value, so we can write it down as x%=474.2.
5. Now we have two simple equations:
1) 100%=503.98
2) x%=474.2
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%=503.98/474.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 474.2 is what percent of 503.98

100%/x%=503.98/474.2
(100/x)*x=(503.98/474.2)*x       - we multiply both sides of the equation by x
100=1.0628005061156*x       - we divide both sides of the equation by (1.0628005061156) to get x
100/1.0628005061156=x
94.091035358546=x
x=94.091035358546

now we have:
474.2 is 94.091035358546% of 503.98