354.37 is what percent of 552 - 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 552 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 552, so we can write it down as 100%=552.
4. We know, that x% equals 354.37 of the output value, so we can write it down as x%=354.37.
5. Now we have two simple equations:
1) 100%=552
2) x%=354.37
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%=552/354.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 354.37 is what percent of 552

100%/x%=552/354.37
(100/x)*x=(552/354.37)*x       - we multiply both sides of the equation by x
100=1.5576939357169*x       - we divide both sides of the equation by (1.5576939357169) to get x
100/1.5576939357169=x
64.197463768116=x
x=64.197463768116

now we have:
354.37 is 64.197463768116% of 552