83.75 is what percent of 149.4 - 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 149.4 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 149.4, so we can write it down as 100%=149.4.
4. We know, that x% equals 83.75 of the output value, so we can write it down as x%=83.75.
5. Now we have two simple equations:
1) 100%=149.4
2) x%=83.75
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%=149.4/83.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.75 is what percent of 149.4

100%/x%=149.4/83.75
(100/x)*x=(149.4/83.75)*x       - we multiply both sides of the equation by x
100=1.7838805970149*x       - we divide both sides of the equation by (1.7838805970149) to get x
100/1.7838805970149=x
56.057563587684=x
x=56.057563587684

now we have:
83.75 is 56.057563587684% of 149.4