419.2 is what percent of 336.25 - 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 336.25 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 336.25, so we can write it down as 100%=336.25.
4. We know, that x% equals 419.2 of the output value, so we can write it down as x%=419.2.
5. Now we have two simple equations:
1) 100%=336.25
2) x%=419.2
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%=336.25/419.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 419.2 is what percent of 336.25

100%/x%=336.25/419.2
(100/x)*x=(336.25/419.2)*x       - we multiply both sides of the equation by x
100=0.80212309160305*x       - we divide both sides of the equation by (0.80212309160305) to get x
100/0.80212309160305=x
124.66914498141=x
x=124.66914498141

now we have:
419.2 is 124.66914498141% of 336.25