375.2 is what percent of 426.15 - 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 426.15 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 426.15, so we can write it down as 100%=426.15.
4. We know, that x% equals 375.2 of the output value, so we can write it down as x%=375.2.
5. Now we have two simple equations:
1) 100%=426.15
2) x%=375.2
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%=426.15/375.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 375.2 is what percent of 426.15

100%/x%=426.15/375.2
(100/x)*x=(426.15/375.2)*x       - we multiply both sides of the equation by x
100=1.1357942430704*x       - we divide both sides of the equation by (1.1357942430704) to get x
100/1.1357942430704=x
88.044115921624=x
x=88.044115921624

now we have:
375.2 is 88.044115921624% of 426.15